What is the derivative of sin(xcos(x)+sin(x)) ?

The derivative of sin(xcos(x)+sin(x)) is cos(2x)+cos(x)

What is the first derivative of sin(xcos(x)+sin(x)) ?

The first derivative of sin(xcos(x)+sin(x)) is cos(2x)+cos(x)

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\frac{d}{d x} (sin (x) cos (x) + sin (x))

cos (2 x) + cos (x)

Solution steps

\frac{d}{d x} (sin (x) cos (x) + sin (x))

Apply the Sum/Difference Rule:

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

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

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

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

= cos (2 x) + cos (x)

x^{3} + x^{2}

x \to \infty lim (\frac{m}{n})

n = 0 \sum \infty 0.0 1^{n}

y + y^{^{'}} = sin (t), y (π) = 1

\int_{1}^{3 x} (t^{2} + t) d t

What is the derivative of sin(xcos(x)+sin(x)) ?
The derivative of sin(xcos(x)+sin(x)) is cos(2x)+cos(x)
What is the first derivative of sin(xcos(x)+sin(x)) ?
The first derivative of sin(xcos(x)+sin(x)) is cos(2x)+cos(x)