If 13+4f(x)+x^2(f(x))^3=0 and f(−3)=−1, find f′(−3).

Question

Please help me, this is due tonight.

Answer 1

I usually do not have the temerity to disagree with Mark M., who is usually right!

However, I think that if you differentiate the equation and substitute the values given, you will get a simple equation in f'(-3).

4f'(x)+3x²f²(x)f'(x)+2xf³(x)=0

You take it from here.

Answer 2