- We use the product rule and then the chain rule. Hence, the derivative of f(x) equals to 3(x+4)^{2}(x-3)^{6} + (x+4)^{3}6(x-3)^{5}.
- Again we use the chain rule to obtain that the derivative equals to 2sin(x^{3}-2x+4)cos(x^{3}-2x+4)(3x^{2}-2).
Sammy K.
and apparently there isn't supposed to be cos in the 2nd question
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04/15/21
Nikolaos P.
tutor
The cos should be there because it is the derivative of sin and it appears by applying the chain rule. If you would like more explanation I would gladly offer you a session. Unfortunately, here I can not write more calculations because it would take too much space.
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04/15/21
Sammy K.
would you mind showing all the steps to getting that answer, for please? I got 3(x-3)^5 (x+4)^2 (3x+5) for the 1st one04/15/21