f(x)=(x+16)^10. e^(7x)
Find f′(−2).
f(x)=(x+16)^10. e^(7x)
I assume you meant:
f(x)=(x+16)^10 * e^(7x), where * is multiplication
by product rule:
f'(x) = (x+16)^10 (7 e^7x) + e^(7x) (10)(x+16)^9
f'(-2) = (14^10)(7 e^(-14) ) + e^(-14) (10)(14^9)
= whatever