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Popular >

derivative of axsin(x+bxcos(x))

Solution

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

Solution

a (sin (x) + x cos (x)) + b (cos (x) - x sin (x))

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= a (sin (x) + x cos (x)) + b (cos (x) - x sin (x))

Popular Examples

integral of e^{8x-7}

\int e^{8 x - 7} d x

integral of x^2*sqrt(7x-5)

\int x^{2} \cdot 7 x - 5 d x

integral of 5/(xsqrt(36-25ln^2(x)))

\int \frac{5}{x 36 - 25 ln ^{2} ( x )} d x

(\partial)/(\partial x)(ln(y^{x^2}))

\frac{\partial}{\partial x} (ln (y^{x^{2}}))

derivative of (e^x/x)

\frac{d}{d x} (\frac{e ^{x}}{x})

Frequently Asked Questions (FAQ)

What is the derivative of axsin(x+bxcos(x)) ?
The derivative of axsin(x+bxcos(x)) is a(sin(x)+xcos(x))+b(cos(x)-xsin(x))
What is the first derivative of axsin(x+bxcos(x)) ?
The first derivative of axsin(x+bxcos(x)) is a(sin(x)+xcos(x))+b(cos(x)-xsin(x))