Evaluate each of the following. Show all your calculations.

Question

a) f'(���3)� if f(x) ���� = x^4�� − 3x�

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

c) f" (����1)� if f(X) ���� = −3x^2�� − 5x� + 7

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

e) f'(���0)� if f(x) ���� = 14x��^2 + 3�x − 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�� − 7��x^2 + 4�x − 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.