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Popular >

derivative of cos(2x-xln(x))

Solution

\frac{d}{d x} (cos (2 x) - x ln (x))

Solution

- 2 sin (2 x) - ln (x) - 1

Solution steps

\frac{d}{d x} (cos (2 x) - x ln (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (cos (2 x)) - \frac{d}{d x} (x ln (x))

\frac{d}{d x} (cos (2 x)) = - sin (2 x) \cdot 2

\frac{d}{d x} (x ln (x)) = ln (x) + 1

= - sin (2 x) \cdot 2 - (ln (x) + 1)

Simplify

- sin (2 x) \cdot 2 - (ln (x) + 1) : - 2 sin (2 x) - ln (x) - 1

= - 2 sin (2 x) - ln (x) - 1

Popular Examples

integral from 0 to 1 of (8x^e+5e^x)

\int_{0}^{1} (8 x^{e} + 5 e^{x}) d x

(d^2)/(dx^2)((30x)/((x^2+6)^2))

\frac{d ^{2}}{d x ^{2}} (\frac{30 x}{( x ^{2} + 6 ) ^{2}})

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7 y

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\int \frac{1}{16 x ^{4} + 8 x ^{2} + 1} d x

(\partial)/(\partial x)(sin(kx))

\frac{\partial}{\partial x} (sin (k x))

Frequently Asked Questions (FAQ)

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