Question

Find the derivative of: x^3+5/x

Answer 1

Derivative of x^n=n*x^{n-1}

Answer 2

I tried working on this problem using the power rule and got \[3x^{2}-1x^{-2}\] as my answer, am I on the right track or not?

Answer 3

First term is right. For second term you forgot to multiply by 5.

Answer 4

Why? Can you explain?

Answer 5

5/x=5 *(1/x)

Derivative of 1/x is -1/x^2

Then multiply by 5

5*(-1/x^2}

Answer 6

Note that derivative of k(f(x))=k(f'(x))

Answer 7

Ok, so then my answer would be: \[3x ^{2}-5x^{-2}\] ??

Answer 8

Yes

Answer 9

Yes :)

Answer 10

Ok, thank you very much @AravindG & @Andras I just wasn't too sure I was doing things right, glad you helped me identify my mistake

Answer 11

yw :)