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Popular >

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

Solution

derivative of

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}

Graph

Popular Examples

derivative of ((x^2-1)/((x^2+x+1)))

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

integral of sqrt(18-x^2)

\int 18 - x^{2} d x

derivative of arccot(3x)

\frac{d}{d x} (arccot (3 x))

derivative of x^{5/3}-x^{2/3}derivative of

x^{\frac{5}{3}} - x^{\frac{2}{3}}

derivative of x-3 derivative of

x - 3

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