How do you find the derivative of 6x^(- 7/8)?

1 Answer
Mar 5, 2016

f'(x)=-21/4x^(-15/8)

Explanation:

Before we derive this, we shall first remind ourselves of 2 important formulas, f(x)=kh(x)\impliesf'(x)=kh'(x) and f(x)=x^n\impliesf'(x)=nx^(n-1)

Now, we have f(x)=6x^(-7/8)
From above equations, we take k=6 and g(x)=x^(-7/8)
So, f'(x)=6*(d(x^(-7/8)))/dx\impliesf'(x)=-6*7/8*x^(-15/8)

Simplifying gives us the answer.