### Home > CALC > Chapter 6 > Lesson 6.2.2 > Problem 6-78

6-78.

Use the Chain Rule. You may have to use it more than once.

The derivative of *a ^{x}* is (ln

*a*) ·

*a*. For

^{x}*e*, due to the nature of ln, its derivative is itself.

^{x}What is the derivative of an integral?

Also, should your result be in terms of t or in terms of *x*?

To answer this, imagine the result of actually integrating the function first before differentiating it.

Use implicit differentiation.