Question

Differentiate:

f(x) = 2x-(x^2+1)^7 / 3


the answer choices are
1) f'(x) = 2-x / 3(x^2+1)^6
2) f'(x) = 2/3 - 14/3 x(x^2+1)^6
3) None of the above

so the answer would number 1 correct?

Answer 1

looks pretty straightforward to me

y = 2x - (1/3)(x^2 + 1)^7
dy/dx = 2 - (7/3)(x^2 + 1)^6 (2x)
= 2 - (14/3)x(x^2+1)^6

neither of their answers are correct

Answer 2

In google type: calc101

When you see list of results click on:

Calc101com Automatic Calculus,Linear Algebra and Polynomials

When page be open clik option: derivatives

When this page be open in rectacangle type:

2x-(x^2+1)^7/3

and click options DO IT

You will see solution step-by-step

By the way on this site you can practice any kind of derivation.