Question

Find the derivatives using the table (I will post the table)
a. Dx(f[g(x)]) at x=1
b. same at x=2

Answer 1

x 1 2 3 4
f(x) 2 4 1 3
f'(x) -6 -7 -8 -9
g(x) 2 3 4 1
g'(x) 2/7 3/7 4/7 5/7

Answer 2

∫
f ′(x)
f (x)
dx = ln ( f (x)) + C

Answer 3

(f[g(x)])' = f '(g(x)) * g' (x), at x = 1
f ' (g(1)) * g'(1) = f ' (2) * (2/7) = -7 * 2/7 = -2

Answer 4

that was the answer to the first one.

Answer 5

thats for A

Answer 6

awesome, thats what I got for the first one- not doing integrals yet so i cant use madiners

Answer 7

for the second one:
f ' (g(2)) * g'(2) = f ' (3) * 3/7 = -8*3/7 = -24/7

Answer 8

for B

x ln(x)d

Answer 9

lol thanks bahrom...no idea what is going on in your answer madiner but thanks for the input

Answer 10

thnk bahrom i didnt know that he didnt learn intergrels