Question

Evaluate each of the following. Show all your calculations.
a) f'(
3) if f(x)
 = x^4 − 3x

b) f'
(−2) if
f(x) = 2x^3 + 4x^2 − 5x + 8

c) f" (
1) if f(X)
 = −3x^2 − 5x + 7

d)f"
(−3) if f(x)
 = 4x^3 − 3x^2 + 2x − 6

e) f'(
0) if f(x)
 = 14x^2 + 3x − 6

f)f"
(4) if
f (x) = x^5 + x^4 − x^3

g)
 f" (1/3) if f(x)
 = −2x^5 + 2x − 6

h) f
′ (3/4)if
f(x) = −3x^3 − 7x^2 + 4x − 11

Answer 1

looks like a bit of homework-dumping to me.

I will do one of them.
f)
f(x) = x^5 + x^4 - x^3
f ' (x) = 5x^4 + 4x^3 - 3x^2
f '' (x) = 20x^3 + 12x^2 - 6x
then f '' (4) = 20(64) + 12(16) - 6(4) = 1448

They are all of a very eliminatory type , which you just have to know to start Calculus.

try the others.