Question

Find the derivative of f(x)= sqrt(12-x^6)

Answer 1

-3x^5 /√(12 - x^6).

Explanation:

f(x)= sqrt(12-x^6)

f(x) = ( 12 - x^6)^1/2

Using the Chain Rule:

f'(x) = 1/2(12 - x^6)^-1/2 * -6x^5

= -6x^5 / 2(12 - x^6) ^ 1/2

= -6x^5 /2√(12 - x^6)

= -3x^5 /√(12 - x^6).