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Derivative of exponential functions
- Intro Lesson6:20
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- Lesson: 43:41
Derivative of exponential functions
An exponential function is a function containing a numerical base with at least one variable in its exponent. In this section, we will learn how to differentiate exponential functions, including natural exponential functions and other composite functions that require the application of the Chain Rule.
Lessons
Differential Rules – Exponential Functions
dxdcx=cx⋅lnc
dxdc()=c()⋅lnc⋅dxd()
dxdex=ex
dxde()=e()⋅dxd()
dxdcx=cx⋅lnc
dxdc()=c()⋅lnc⋅dxd()
dxdex=ex
dxde()=e()⋅dxd()
- Introductiondxd2x
dxd24x3 - 1.dxd35x2
- 2.dxdex
dxdesinx - 3.Differentiate:
y=tan(cose5x2) - 4.dxdx5 VS. dxd5x
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26.
Limits and Derivatives
26.1
Finding limits from graphs
26.2
Definition of derivative
26.3
Power rule
26.4
Slope and equation of tangent line
26.5
Chain rule
26.6
Derivative of trigonometric functions
26.7
Derivative of exponential functions
26.8
Product rule
26.9
Quotient rule
26.10
Implicit differentiation
26.11
Derivative of inverse trigonometric functions
26.12
Derivative of logarithmic functions
26.13
Higher order derivatives
Don't just watch, practice makes perfect
Practice topics for Limits and Derivatives
26.1
Finding limits from graphs
26.2
Definition of derivative
26.3
Power rule
26.4
Slope and equation of tangent line
26.5
Chain rule
26.6
Derivative of trigonometric functions
26.7
Derivative of exponential functions
26.8
Product rule
26.9
Quotient rule
26.10
Implicit differentiation
26.11
Derivative of inverse trigonometric functions
26.12
Derivative of logarithmic functions
26.13
Higher order derivatives