Question

Use the function defined below to calculate the indicated derivative.
f(t)= 4/(t^3)+3

what is f''(2)

(second derivative)

Need help!!

Answer 1

Use the power rule,
(xⁿ)' = nx^n-1
To find f"(t), repeat the differentiation.
Hint:
4/t³ = 4t^-3

Answer 2

Use implicit differentiation to find the slope of the tangent line to the curve
4 x^2 + 2 xy + 1 y^3 = 32
at the point ( -3,2 ).