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Popular >

derivative of 2x+2(cos(x+1)sin(x))

Solution

\frac{d}{d x} (2 x + 2 (cos (x) + 1) sin (x))

Solution

2 + 2 (- sin^{2} (x) + cos (x) (cos (x) + 1))

Solution steps

\frac{d}{d x} (2 x + 2 (cos (x) + 1) sin (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (2 x) + \frac{d}{d x} (2 (cos (x) + 1) sin (x))

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

\frac{d}{d x} (2 (cos (x) + 1) sin (x)) = 2 (- sin^{2} (x) + cos (x) (cos (x) + 1))

= 2 + 2 (- sin^{2} (x) + cos (x) (cos (x) + 1))

Graph

Popular Examples

integral of sec^6(3x)tan^2(3x)

\int sec^{6} (3 x) tan^{2} (3 x) d x

derivative of f(x)=(1+4x)/(9-6x)derivative of

f (x) = \frac{1 + 4 x}{9 - 6 x}

integral of-x^2+5x

\int - x^{2} + 5 x d x

(\partial)/(\partial x)((3y-6x)/(y^2+7x^2))

\frac{\partial}{\partial x} (\frac{3 y - 6 x}{y ^{2} + 7 x ^{2}})

integral of sqrt(1-100x^2)

\int 1 - 100 x^{2} d x

Frequently Asked Questions (FAQ)

What is the derivative of 2x+2(cos(x+1)sin(x)) ?
The derivative of 2x+2(cos(x+1)sin(x)) is 2+2(-sin^2(x)+cos(x)(cos(x)+1))
What is the first derivative of 2x+2(cos(x+1)sin(x)) ?
The first derivative of 2x+2(cos(x+1)sin(x)) is 2+2(-sin^2(x)+cos(x)(cos(x)+1))