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Popular >

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

Solution

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

Solution

- 3 sin (x) - x cos (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= - 2 sin (x) - (sin (x) + x cos (x))

Simplify

= - 3 sin (x) - x cos (x)

Graph

Popular Examples

sum from n=0 to infinity of (6/7)^n

n = 0 \sum \infty (\frac{6}{7})^{n}

(dy)/(dx)+12y=4

\frac{d y}{d x} + 12 y = 4

(2xy^2+2y)dx+(2x^2y+2x)dy=0,y(1)=2

(2 x y^{2} + 2 y) d x + (2 x^{2} y + 2 x) d y = 0, y (1) = 2

y^{''}-5y^'+6y=-sin(5t)

y^{^{''}} - 5 y^{^{'}} + 6 y = - sin (5 t)

(dy)/(dx)= 1/(e^y-x)

\frac{d y}{d x} = \frac{1}{e ^{y} - x}

Frequently Asked Questions (FAQ)

What is the derivative of 2cos(x-xsin(x)) ?
The derivative of 2cos(x-xsin(x)) is -3sin(x)-xcos(x)
What is the first derivative of 2cos(x-xsin(x)) ?
The first derivative of 2cos(x-xsin(x)) is -3sin(x)-xcos(x)