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Popular >

derivative of 2xsin(x)

Solution

derivative of

2 x sin (x)

Solution

2 (sin (x) + x cos (x))

Solution steps

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

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Product Rule:

(f \cdot g)^{'} = f^{'} \cdot g + f \cdot g^{'}

f = x, g = sin (x)

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

\frac{d x}{d x} = 1

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

= 2 (1 \cdot sin (x) + cos (x) x)

Simplify

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

Popular Examples

derivative of f(x)=t^2ln(e^{2t}+1)derivative of

f (x) = t^{2} ln (e^{2 t} + 1)

polar (sqrt(2),-sqrt(2))cartesian to polar

(2, - 2)

slope of 2x+4y=7 slope

2 x + 4 y = 7

derivative of f(x)=x^2ln(x)derivative of

f (x) = x^{2} ln (x)

derivative of f(x)= 1/(x-1)derivative of

f (x) = \frac{1}{x - 1}

Frequently Asked Questions (FAQ)

What is the derivative of 2xsin(x) ?
The derivative of 2xsin(x) is 2(sin(x)+xcos(x))
What is the first derivative of 2xsin(x) ?
The first derivative of 2xsin(x) is 2(sin(x)+xcos(x))