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Popular >

derivative of sin(7x+sin^2(7x))

Solution

\frac{d}{d x} (sin (7 x) + sin^{2} (7 x))

Solution

cos (7 x) \cdot 7 + 14 sin (7 x) cos (7 x)

Solution steps

\frac{d}{d x} (sin (7 x) + sin^{2} (7 x))

Apply the Sum/Difference Rule:

(f \pm g)^{'} = f^{'} \pm g^{'}

= \frac{d}{d x} (sin (7 x)) + \frac{d}{d x} (sin^{2} (7 x))

\frac{d}{d x} (sin (7 x)) = cos (7 x) \cdot 7

\frac{d}{d x} (sin^{2} (7 x)) = 14 sin (7 x) cos (7 x)

= cos (7 x) \cdot 7 + 14 sin (7 x) cos (7 x)

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Frequently Asked Questions (FAQ)

What is the derivative of sin(7x+sin^2(7x)) ?
The derivative of sin(7x+sin^2(7x)) is cos(7x)*7+14sin(7x)cos(7x)
What is the first derivative of sin(7x+sin^2(7x)) ?
The first derivative of sin(7x+sin^2(7x)) is cos(7x)*7+14sin(7x)cos(7x)