Find the derivative of the given function. Simplify and express the answer using positive exponents only.

Question

Find the derivative of the given function. Simplify and express the answer using positive exponents only. ​  ​

Quizplus · Accepted Answer

We can use the power rule of differentiation to find the derivative of this function:

f(x) = 11ea984b_ace0_9577_9029_d9b45d68d3a6_TB4005_11

f'(x) = (ln11)(11ea984b_ace0_9577_9029_d9b45d68d3a6_TB4005_11)x

Since the constant ln11 does not have any variables in it, it can be simplified to a regular constant. Also, we want to express the answer using positive exponents only, so we can rewrite the answer as:

f'(x) = 11ea984b_ace1_0aaa_9029_e1f443455625_TB4005_11x

Therefore, the best choice is C.

Find the Derivative of the Given Function