The function f is differentiable for all real numbers and satisfies f(3) = 7 and f'(3) = 5 . The function g is defined by g(x) = f(x)e^2x. What is the value of g'(3) ?
10e^6
12e^6
17e^6
19e^6

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!

f(x) = y

f(-3) = -5

step-by-step explanation:

answer: c

(2, -4)

goes 7 to the

(9, 4)

easy