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Differentiating exponential functions review

Review your exponential function differentiation skills and use them to solve problems.

How do I differentiate exponential functions?

First, you should know the derivatives for the basic exponential functions:
ddx(ex)=ex
ddx(ax)=ln(a)ax
Notice that ex is a specific case of the general form ax where a=e. Since ln(e)=1 we obtain the same result.
You can actually use the derivative of ex (along with the chain rule) to obtain the general derivative of ax.
Want to learn more about differentiating exponential functions? Check out this video.

Practice set 1: exponent is x

Problem 1.1
f(x)=4ex
f(x)=?
Choose 1 answer:

Want to try more problems like this? Check out this exercise.

Practice set 2: exponent is a polynomial

Problem 2.1
y=e(3x24)
dydx=?
Choose 1 answer:

Want to try more problems like this? Check out this exercise.

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