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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derivative of

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 (4 x + 5)^{2} d x

x \to \frac{1}{3} lim ((9 x - 3)^{3})

\frac{d}{d t} (\frac{1}{1 - 2 t})

\int 8 e^{7 x} d x

x \to 1 lim (π x cos (π) x)

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)