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Popular >

derivative of ccos(x+x^2sin(x))

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

slope of (-4,-2),(8,7)slope

(- 4, - 2), (8, 7)

(\partial)/(\partial x)(x^2e^{sqrt(3xy)})

\frac{\partial}{\partial x} (x^{2} e^{3 x y})

(\partial)/(\partial x)(x/(1+2x+3y))

\frac{\partial}{\partial x} (\frac{x}{1 + 2 x + 3 y})

integral of sin(1-x)

\int sin (1 - x) d x

integral of 5sec^{-2}(xta)n^3x

\int 5 sec^{- 2} (x t a) n^{3} x d x

Frequently Asked Questions (FAQ)

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