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Popular >

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

Solution

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

Solution

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

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Popular Examples

limit as y approaches-1 of y^3-2y^2+3y-4

y \to - 1 lim (y^{3} - 2 y^{2} + 3 y - 4)

laplacetransform 1/2+1/2 cos(2t)laplace transform

\frac{1}{2} + \frac{1}{2} cos (2 t)

integral from 0 to 4 of 4/(2x+1)

\int_{0}^{4} \frac{4}{2 x + 1} d x

integral of 1/(\sqrt[3]{x)+1}

(\partial)/(\partial y)(e^{2xy}cos(x))

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

Frequently Asked Questions (FAQ)

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