What is the derivative of sin(4x)+sin^2(4x) ?

The derivative of sin(4x)+sin^2(4x) is cos(4x)*4+4sin(8x)

What is the first derivative of sin(4x)+sin^2(4x) ?

The first derivative of sin(4x)+sin^2(4x) is cos(4x)*4+4sin(8x)

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derivative of

sin (4 x) + sin^{2} (4 x)

cos (4 x) \cdot 4 + 4 sin (8 x)

Solution steps

\frac{d}{d x} (sin (4 x) + sin^{2} (4 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (4 x)) + \frac{d}{d x} (sin^{2} (4 x))

\frac{d}{d x} (sin (4 x)) = cos (4 x) \cdot 4

\frac{d}{d x} (sin^{2} (4 x)) = 4 sin (8 x)

= cos (4 x) \cdot 4 + 4 sin (8 x)

f (x) = - 3 lo g_{10} (x)

f (x) = - 2 x

f^{^{'}} (x) = 5 x^{2} + 7

4 sec (x) - 8 cos (x)

\int \frac{16 x ^{2} + 25}{x ^{4}} d x

What is the derivative of sin(4x)+sin^2(4x) ?
The derivative of sin(4x)+sin^2(4x) is cos(4x)*4+4sin(8x)
What is the first derivative of sin(4x)+sin^2(4x) ?
The first derivative of sin(4x)+sin^2(4x) is cos(4x)*4+4sin(8x)