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Popular >

derivative of 4sin(x-4xcos(x))

Solution

\frac{d}{d x} (4 sin (x) - 4 x cos (x))

Solution

4 x sin (x)

Solution steps

\frac{d}{d x} (4 sin (x) - 4 x cos (x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 sin (x)) - \frac{d}{d x} (4 x cos (x))

\frac{d}{d x} (4 sin (x)) = 4 cos (x)

\frac{d}{d x} (4 x cos (x)) = 4 (cos (x) - x sin (x))

= 4 cos (x) - 4 (cos (x) - x sin (x))

Simplify

4 cos (x) - 4 (cos (x) - x sin (x)) : 4 x sin (x)

= 4 x sin (x)

Popular Examples

sum from n=3 to infinity of 1/(n^2+3n)

n = 3 \sum \infty \frac{1}{n ^{2} + 3 n}

(\partial)/(\partial x)(sqrt(5x+y))

\frac{\partial}{\partial x} (5 x + y)

limit as x approaches-1 of x/(x^2+x)

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

derivative of f(x)=e^{x^2-6}derivative of

f (x) = e^{x^{2} - 6}

limit as x approaches 0 of x*(ln(x))^2

x \to 0 lim (x \cdot (ln (x))^{2})

Frequently Asked Questions (FAQ)

What is the derivative of 4sin(x-4xcos(x)) ?
The derivative of 4sin(x-4xcos(x)) is 4xsin(x)
What is the first derivative of 4sin(x-4xcos(x)) ?
The first derivative of 4sin(x-4xcos(x)) is 4xsin(x)