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Popular >

derivative of y=2Cx+C(sin(x)+xcos(x))

Solution

derivative of

y = 2 C x + C (sin (x) + x cos (x))

Solution

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

Solution steps

\frac{d}{d x} (2 C x + C (sin (x) + x cos (x)))

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (2 C x) = 2 C

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

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

Popular Examples

(\partial)/(\partial x)((xy)/(y-x))

\frac{\partial}{\partial x} (\frac{x y}{y - x})

sum from n=1 to infinity of (7/3)^n

n = 1 \sum \infty (\frac{7}{3})^{n}

integral from 6 to 8 of (66)/((x-6)^3)

\int_{6}^{8} \frac{66}{( x - 6 ) ^{3}} d x

limit as x approaches 4 of x^{1/5}

x \to 4 lim (x^{\frac{1}{5}})

derivative of f(x)=ln(11x)derivative of

f (x) = ln (11 x)

Frequently Asked Questions (FAQ)

What is the derivative of y=2Cx+C(sin(x)+xcos(x)) ?
The derivative of y=2Cx+C(sin(x)+xcos(x)) is 2C+C(2cos(x)-xsin(x))
What is the first derivative of y=2Cx+C(sin(x)+xcos(x)) ?
The first derivative of y=2Cx+C(sin(x)+xcos(x)) is 2C+C(2cos(x)-xsin(x))