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6-78.
  1. For each of the following functions, find . Homework Help ✎

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

The derivative of ax is (ln a) · ax. For ex, due to the nature of ln, its derivative is itself.

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.