For , what is…

MATHEMATICS · Single correct · CBSE · Mathematics · Limits and Derivatives · Limits and Derivatives

Problem

For

h(t)=3t^{4}-5t^{-2}+\sqrt{t}

, what is

h'(t)

? (a)

12t^{3}-10t^{-3}+\tfrac{1}{2}t^{-1/2}

(b)

12t^{3}+10t^{-2}+\tfrac{1}{2}t^{-3/2}

(c)

12t^{3}+10t^{-3}+\tfrac{1}{2}t^{-1/2}

(d)

12t^{3}+10t^{-3}+\tfrac{1}{2}t^{1/2}