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Grade 12

Master Calculus 12

Aligned with Nova Scotia Calculus 12 curriculum

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Nova Scotia Calculus 12 | Master Limits, Derivatives & IntegralsHelp

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Curriculum Outcome

StudyPug Topic

NS.CO.C12.B1

Calculate and interpret average and instantaneous rate of change:

NS.CO.C12.B2

Calculate limits for function values and apply limit properties with and without technology:

NS.CO.C12.B3

Remove removable discontinuities by extending or modifying a function:

NS.CO.C12.B4

Apply the properties of algebraic combinations and composites of continuous functions:

NS.CO.C12.A1

Apply average and instantaneous rates of change to secant line and tangent line slopes:

NS.CO.C12.A2

Demonstrate an understanding of the definition of the derivative:

NS.CO.C12.A3

Demonstrate understanding of implicit differentiation and identify situations that require it:

NS.CO.C12.B5

Find where a function is not differentiable and distinguish between corners cusps discontinuities and vertical tangents:

NS.CO.C12.B6

Derive apply and explain power sum difference product and quotient rules:

NS.CO.C12.B7

Apply the chain rule to composite functions:

NS.CO.C12.B9

Apply the rules for differentiating the six trigonometric functions:

NS.CO.C12.B10

Apply the rules for differentiating the six inverse trigonometric functions:

NS.CO.C12.B11

Calculate and apply derivatives of exponential and logarithmic functions:

NS.CO.C12.B12

Apply Newton's method to approximate zeros of a function:

NS.CO.C12.B13

Estimate the change in a function using differentials and apply them to real world situations:

NS.CO.C12.C2

Understand the development of the slope of a tangent line from the slope of a secant line:

NS.CO.C12.C4

Demonstrate an understanding of the connection between the graphs of f and f:

NS.CO.C12.B14

Solve and interpret related rate problems:

NS.CO.C12.B15

Demonstrate an understanding of critical points and absolute extreme values of a function:

NS.CO.C12.B16

Find the intervals on which a function is increasing or decreasing:

NS.CO.C12.B17

Solve application problems involving maximum or minimum values of a function:

NS.CO.C12.B18

Apply rules for definite integrals:

NS.CO.C12.B19

Apply the Fundamental Theorem of Calculus:

NS.CO.C12.B20

Compute indefinite and definite integrals by the method of substitution:

NS.CO.C12.B21

Apply integration by parts to evaluate indefinite and definite integrals:

NS.CO.C12.B22

Solve problems in which a rate is integrated to find the net change over time:

NS.CO.C12.C7

Solve initial value problems of the form dy/dx = f(x) y0 = f(x0) where f(x) is a recognizable derivative:

NS.CO.C12.C9

Construct antiderivatives using the Fundamental Theorem of Calculus:

NS.CO.C12.C10

Find antiderivatives of polynomials e^kx and selected trigonometric functions of kx:

NS.CO.C12.C11

Construct slope fields using technology and interpret them as visualizations of differential equations:

NS.CO.C12.D1

Apply and understand how Riemann sums can be used to determine the area under a polynomial curve:

NS.CO.C12.D4

Compute the area under a curve using numerical integration procedures:

NS.CO.C12.D5

Apply integration to calculate areas of regions in a plane:

NS.CO.C12.D6

Apply integration by slices or shells to calculate volumes of solids:

NS.CO.C12.B23

Solve a differential equation of the form dy/dx = g(x)h(y) in which the variables are separable:

NS.CO.C12.B24

Solve problems involving exponential growth and decay:

NS.CO.C12.B25

Apply Euler's method to find approximate solutions to differential equations with initial values:
Complete Calculus 12 Coverage

Curriculum Topics

47

Video Lessons

358

Practice Questions

653

Hours of Content

28+

Why Nova Scotia Calculus 12 Students Love StudyPug

Built specifically for Nova Scotia high school success

Nova Scotia Curriculum Aligned
Nova Scotia Curriculum Aligned

Every lesson matches Nova Scotia Calculus 12 standards—what you learn in class, we teach

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Frequently Asked Questions

Everything you need to know about mastering Calculus 12 with StudyPug

What does Calculus 12 coverage include?

StudyPug covers all Nova Scotia Calculus 12 curriculum outcomes including limits and continuity, differentiation rules (power, product, quotient, chain), derivatives of trigonometric and exponential functions, implicit differentiation, related rates, optimization, curve sketching, integration techniques (substitution, by parts), Riemann sums, areas and volumes, differential equations, and Euler's method. You'll get 358 video lessons and 684 practice questions aligned with NS standards.

How does photo search work?

Just snap a photo of any calculus problem from your homework or textbook using your phone or tablet. Our AI instantly identifies the topic and shows you the exact video lesson that teaches that concept. You'll see step-by-step solutions and can watch similar examples explained by expert teachers. It works with derivatives, integrals, limits, optimization problems, and all calculus topics—saving you hours of searching.

How many practice problems are available for Calculus 12?

You get 684 practice questions covering every Calculus 12 topic, plus step-by-step solutions for each one. Questions range from basic limit evaluation to complex integration by parts and optimization problems. The adaptive system adjusts difficulty based on your performance, so you're always challenged at the right level. Practice problems align with Nova Scotia curriculum standards and mirror what you'll see on tests and the graduation assessment.

What if I'm falling behind in Calculus 12?

StudyPug is perfect for catching up. Start with diagnostic questions to identify exactly which topics you need help with—whether it's limits, derivatives, or integration. Watch targeted video lessons at your own pace, pause and rewind as needed, then practice similar problems until concepts click. Many students catch up and surpass their classmates within weeks. The 24/7 access means you can study whenever you have time, not just during tutoring hours.

Does StudyPug help with Calculus 12 exams?

Absolutely. Our content prepares you for unit tests, final exams, and the Nova Scotia graduation numeracy assessment. You'll get practice with exam-style questions, learn proven problem-solving strategies, and master time management through timed quizzes. Review lessons cover the most tested concepts like optimization, related rates, and Fundamental Theorem of Calculus. Many students report feeling significantly more confident walking into their calculus exams after using StudyPug.

How much does StudyPug cost?

StudyPug offers flexible monthly and annual plans starting at less than the cost of a single tutoring session. All plans include unlimited access to every Calculus 12 video lesson, all practice questions, photo search, progress tracking, and support for additional courses if you need help in other subjects. We offer a satisfaction guarantee, and you can cancel anytime. Many students find StudyPug pays for itself by reducing or eliminating expensive tutoring.

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