1 Find the derivative of the function fx x 1104 2 Find the

1.) Find the derivative of the function.

f(x) = (x + 1)^104

2.) Find the derivative of the function.

g(x) = [5(x^5) + 1]^3

3.) Find the derivative of the function.

w = [(t^7) + 1]^94

4.) Find the derivative of the function.

R = [(q^5) + 1]^6

8.) Find the derivative of the function.

y = [(s^13) + 6]^(1/2)

9.) Find the derivative of the function.

f(x) = 8[e^(9x)] + {e^[-x^(7)]}

12.) Find the derivative of the function.

y = 7[e^(4t + 1)]

13.) Find the derivative of the function.

y = ln (8t + 7)

14.) Find the derivative of the function.

w = 6{e^[s^(1/2)]}

15.) Find the derivative of the function

f(t) = ln [(t^2) + 5]

Solution

1.

f\'(x)= 104 * (x+1)^103

2.

= =(3*[5x^5+1]^2 )* 5 * 5 * (x^4)

3.

=94 * 7* t^6 ( t^7 + 1 )^93

4.

=6 * 5 * q^4 * (q^5+1)^5

8.

= (1/2) * (13 * s^12) * (s^7 + 6)^(-1/2)

9.

= 8*9*e^9x + e^(-x^7) * (-7* x^6)

12.

= 7 * e^(4t+1) * 4

13.

= 8/(8t+7)

14.

=e^(sqrt(s)) / (2*sqrt(s))

15.

=(1/t^2+5) * (2t)