Can anybody please help me with my work? I have to find the differentiate/ find the derivative of these two question: Please HELP!!!
- $sin^2(cos3x^3)^5 $
- $cot^2(x)((x^2)(3cos^3(3x)))^2$
Can anybody please help me with my work? I have to find the differentiate/ find the derivative of these two question: Please HELP!!!
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Chain rule
$$\begin{align} \frac{d}{dx}\sin^2(\cos3x^3)^5&=2\sin(\cos3x^3)^5\cdot\frac{d}{dx}\sin(\cos3x^3)^5\\ &=2\sin(\cos3x^3)^5\cdot\cos(\cos3x^3)^5\cdot\frac{d}{dx}(\cos3x^3)^5\\ &=2\sin(\cos3x^3)^5\cdot\cos(\cos3x^3)^5\cdot5(\cos3x^3)^4\cdot\frac{d}{dx}\cos3x^3\\ &=who\ the\ hell\ made\ you\ do\ this \end{align}$$