Finding the derivative of this
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Finding the derivative of this

[From: ] [author: ] [Date: 11-10-31] [Hit: ]
......
f(x)=x^7 h(x)
h(-1)=3
h ' (-1)=6


calculate f ' (-1)



* use product and power rule!

-
f(x)=x^7 h(x)


f ' (x) = d/dx [ x^7 h(x)] = 7x^6 * h(x) + h'(x) * x^7

f ' (-1) = 7(-1)^6 * h(-1) + h'(-1) * (-1)^7

= (7 * 3) + (6 * - 1)

= 15
1
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