Answer :
Find:f'(x)
Explanation: (a)
[tex]\begin{gathered} f(x)=sin^5(x) \\ f^{\prime}(x)=5sin^4(x)cos(x) \end{gathered}[/tex](b)
[tex]\begin{gathered} f(x)=sin(x^5) \\ f^{\prime}(x)=cos(x^5)\times5x^4 \\ =5x^4cos(x^5) \end{gathered}[/tex]
Find:f'(x)
Explanation: (a)
[tex]\begin{gathered} f(x)=sin^5(x) \\ f^{\prime}(x)=5sin^4(x)cos(x) \end{gathered}[/tex](b)
[tex]\begin{gathered} f(x)=sin(x^5) \\ f^{\prime}(x)=cos(x^5)\times5x^4 \\ =5x^4cos(x^5) \end{gathered}[/tex]