1.Differentiate the following function.

h(v) =v⁷

h'(v)

2.Differentiate the following function.

y=x^5/6

y'=

3.Differentiate the following function.

L(t) =³ sqrt t

L'(t) =

4.Differentiate the following function.

R(a) =3/a⁴

R'(a) =

5.Differentiate the following function.

f(x) =9/x⁶

f'(x) =

6.Differentiate the following function.

R(t) =9t^8/9

R'(t) =

7.Differentiate the following function.

y=0.2x⁴1.9x³+5.5x

y'=

8.Differentiate the function.

h(x) = (x5)(2x+9)

h'(x) =

9.Differentiate the following function.

f(q) =9/q5/q²

f'(q) =

10.Differentiate the following function.

y=x(sqrt x+5/sqrt x)

y'=

11.Differentiate the following function.

F(x) =(2/3x)⁴

F'(x) =

12.Differentiate the following function. [Hint:First rewrite the expression as three separate fractions.]

y=5x²11x+3/x

y'=

13.Differentiate the following function.

v=t³1/⁸sqrt t³

v'=