Question

Using these two Points (3,6) (3.1,6.3)
h'(3) if h(x)=(f(x))^4
Can Anyone Help Solve this? Calculate the Derivative?

Answer 1

use the chain rule to find h'(x)

Answer 2

are you given f(x) ???

Answer 3

there is some missing info....please give the original problem

Answer 4

no need
use the points

Answer 5

\[
h(x) = [f(x)]^4\\
h'(x)=4[f(x)]^3f'(x)
\]
now, when x = 3, h = 6 -> point 1
and when dx = 0.1, h' = 0.3 -> point 2

Answer 6

its asking what h'(3)= i tried 6 it didnt work

Answer 7

correction ... i think the points given are is (x,f(x))

so, when x = 3, f(3) = 6
and when dx=0.1, f'(3) = 0.3

Answer 8

so,
$$h'(3) = 4[f(3)]^3f'(3)=4\times(6)^3\times0.3=1.2\times216=259.2$$