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

-3x^5 /√(12 - x^6).

Step-by-step 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).

the graph in the attached figure

step-by-step explanation:

we have

using a graphing tool

the graph in the attached figure

the roots are ( x-intercepts) x=-0.5,x=1,x=3

the y-intercept is the point (0,3)

answer: 1inch=7days  

12inch=12*7=84days

step-by-step explanation: