I'm unable to solve this problem I tried so many times but I didn't get the answer?

2017-01-17 9:23 am
Find an equation for the line tangent to the graph of

f(x)=−4xe^x
at the point (a,f(a)) for a=1.

y=

回答 (4)

2017-01-17 9:23 am
✔ 最佳答案
Is 15
2017-01-17 9:54 am
The tangent of f(x) =−4xe^x at the point (a,f(a)) for (a = 1)
= -8e
2017-01-17 9:28 am
 
f(x) = −4x e^x
f(1) = −4e

f'(x) = −4e^x − 4xe^x = −4e^x(x+1)
f'(1) = −8e

Tangent line passes through point (1,−4e) and has slope = −8e

y + 4e = −8e(x − 1)
y = −8ex + 8e − 4e
y = −8ex + 4e
2017-01-17 9:26 am
hint:
tangent
y-f(a)=f'(a)(x-a)

--->answer
y=-8ex+4e


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