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

To find the derivative, we need to apply the power rule of differentiation. 
The given function can be rewritten as:
11e^(a984b·x^(-5)·cos(x))
Using the chain rule, the derivative is:
-55a984b·x^(-6)·sin(x)·e^(a984b·x^(-5)·cos(x))
We can simplify this by expressing the x^-6 term as (1/x)^6 and converting the negative exponent to a positive exponent:
-55a984b·x^(-6)·sin(x)·e^(a984b·x^(-5)·cos(x)) = -55a984b·(1/x)^6·sin(x)·e^(a984b·(cos(x)/x^5))
Therefore, the answer is C.

Find the Derivative of the Given Function