Differentiate5x−1−15x5𝑥−1−15𝑥Select one:A.5x−2−155𝑥−2−15B.−5x−2−15x−5𝑥−2−15𝑥C.−5x−2−15−5𝑥−2−15D.−5x2−15

The question seems to be asking for the derivative of the function 5x−1−15x.

The derivative of a function can be found using the power rule, which states that the derivative of x^n is n*x^(n-1).

Step 1: Identify the power of x in each term. In the first term, 5x−1, the power of x is -1. In the second term, -15x, the power of x is 1.

Step 2: Apply the power rule to each term. The derivative of the first term is -15x^(-1-1) = -5x^-2. The derivative of the second term is 1-15x^(1-1) = -15.

Step 3: Combine the derivatives of each term to get the derivative of the whole function. The derivative of 5x−1−15x is -5x^-2 - 15.

So, the correct answer is C.−5x−2−15.