What is the derivative of 9sin(x-sin(9x)) ?

The derivative of 9sin(x-sin(9x)) is 9cos(x)-cos(9x)*9

What is the first derivative of 9sin(x-sin(9x)) ?

The first derivative of 9sin(x-sin(9x)) is 9cos(x)-cos(9x)*9

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\frac{d}{d x} (9 sin (x) - sin (9 x))

9 cos (x) - cos (9 x) \cdot 9

Solution steps

\frac{d}{d x} (9 sin (x) - sin (9 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 sin (x)) - \frac{d}{d x} (sin (9 x))

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

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

= 9 cos (x) - cos (9 x) \cdot 9

\int e^{- x^{2}} \cdot (- 2 x^{3}) d x

\int_{0}^{1} 2 - x^{2} d x

x \to 0 lim (\frac{1 + cos ( x )}{x})

\int \frac{x}{( x ^{2} + 1 ) ^{(\frac{3}{2})}} d x

x y^{^{'}} = 3 (x + y)

What is the derivative of 9sin(x-sin(9x)) ?
The derivative of 9sin(x-sin(9x)) is 9cos(x)-cos(9x)*9
What is the first derivative of 9sin(x-sin(9x)) ?
The first derivative of 9sin(x-sin(9x)) is 9cos(x)-cos(9x)*9