What is the derivative of sin(9x+sin^2(9x)) ?

The derivative of sin(9x+sin^2(9x)) is cos(9x)*9+18sin(9x)cos(9x)

What is the first derivative of sin(9x+sin^2(9x)) ?

The first derivative of sin(9x+sin^2(9x)) is cos(9x)*9+18sin(9x)cos(9x)

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\frac{d}{d x} (sin (9 x) + sin^{2} (9 x))

cos (9 x) \cdot 9 + 18 sin (9 x) cos (9 x)

Solution steps

\frac{d}{d x} (sin (9 x) + sin^{2} (9 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (sin (9 x)) + \frac{d}{d x} (sin^{2} (9 x))

\frac{d}{d x} (sin (9 x)) = cos (9 x) \cdot 9

\frac{d}{d x} (sin^{2} (9 x)) = 18 sin (9 x) cos (9 x)

= cos (9 x) \cdot 9 + 18 sin (9 x) cos (9 x)

\int (2 x + 3)^{10} d x

y^{^{''}} + 9 y^{^{'}} + 20 y = 0

4 + x, 4 + \frac{1}{5} x

f (x) = 2 x^{4}

\frac{d}{d x} (sin (x^{2} y^{2}))

What is the derivative of sin(9x+sin^2(9x)) ?
The derivative of sin(9x+sin^2(9x)) is cos(9x)*9+18sin(9x)cos(9x)
What is the first derivative of sin(9x+sin^2(9x)) ?
The first derivative of sin(9x+sin^2(9x)) is cos(9x)*9+18sin(9x)cos(9x)