Question

Find the slope of the tangent line to the graph of the function
f(x)=x e^x

at x=7 correct to two decimal places.

Answer 1

dy/dx = xe^x + e^x

sub x=7 into equation,
dy/dx = 8773

Answer 2

f'(x) = e^x (x+1)

f'(7) = e^7 (7+1) = 8e^7 = 8773.07

Answer 3

sam,
what rule did u use to get the + e^x?