![[ln(7x)]^{cos(5x)} = e^{ln^{[ln(7x)]^{cos(5x)}}}](/tpl/images/0314/1813/e0499.png)
![[ln(7x)]^{cos(5x)} = e^{u}](/tpl/images/0314/1813/bf1ea.png)
![= e^{u} \cdot \frac{d}{dx}[cos(5x) \cdot ln(ln(7x))]](/tpl/images/0314/1813/779e5.png)
![= e^{u} \cdot (-5sin(5x) \cdot ln(ln(7x)) + cos(5x) \cdot \frac{d}{dx}[ln(ln(7x))])](/tpl/images/0314/1813/4d83b.png)
![\therefore \frac{dy}{dx} = e^{u}[-5sin(5x) \cdot ln(ln(7x)) + cos(5x) \cdot \frac{1}{xln(7x)}]](/tpl/images/0314/1813/64012.png)
![= [ln(7x)]^{cos(5x)} \cdot (\frac{cos(5x)}{xln(7x)} - 5ln(ln(7x))sin(5x))](/tpl/images/0314/1813/82f2b.png)
What is the derivative of
(ln (7x))^(cos (5x))...
Answers: 2
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