calculus (gr 12)
posted by Alexandra .
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

looks like a bit of homeworkdumping 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.