f(x)=x^7 h(x)
h(-1)=3
h ' (-1)=6
calculate f ' (-1)
* use product and power rule!
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
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