Using the Derivative Rules with Transcendental Functions (5.3.3)

Question 1

• Some functions are combinations of other functions, such as products or quotients. To differentiate these functions, it may be necessary to use several computational techniques, possibly more than once.

Answer 1

• Some functions are combinations of other functions, such as products or quotients. To differentiate these functions, it may be necessary to use several computational techniques, possibly more than once.

Question 2

What are the derivatives of the transcendental functions?

Answer 2

• Transcendental functions have unusual derivatives.

d/dx[sin x] = cos x

d/dx[cos x] = -sin x

d/dx[e^x] = e^x

d/dx[ln x] = 1/x