Use the product rule to calculate the derivative.

dh
dx
x = 4 ,

h (x) = (x^(-1/2) + 7x)(9 - x^-1)

very weird.. i know how to do it, i used product rule and got an answer in decimal but the website is not accepting it. Can any one help me?...

1 answer

Let's multiply it out and not use the product rule. The answer should be the same.

h(x) = 9x^(-1/2) -x^(-3/2) +63x -7
dh/dx = -(9/2)x^(-3/2) +(3/2)x^(-5/2) + 63

dh/dx @ x=4 = (-9/2)(1/8) +(3/2)(1/32)+63
= -9/16 +3/64 +63
Similar Questions
    1. answers icon 0 answers
  1. Find the derivative of the function.y= xcosx - sinx What's the derivative? I get only one trig function. I will be happy to
    1. answers icon 0 answers
  2. 1.) Find the derivative of tan (sec x).2.) Find the derivative if 1/x in four ways, using the limit process, power rule,
    1. answers icon 1 answer
  3. How do I use the chain rule to find the derivative ofsquare root(1-x^2) also, are there any general hints or tips for
    1. answers icon 1 answer
more similar questions