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Popular >

derivative of y=xsin(x)+2

Solution

derivative of

y = x sin (x) + 2

Solution

x cos (x) + sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (2) = 0

= sin (x) + x cos (x) + 0

Simplify

= x cos (x) + sin (x)

Popular Examples

x^{''}-x^'-6x=6e^{3t}+2e^{-2t}

x^{^{''}} - x^{^{'}} - 6 x = 6 e^{3 t} + 2 e^{- 2 t}

limit as x approaches 0 of (sec(x-1))/(xsec(x))

x \to 0 lim (\frac{sec ( x - 1 )}{x sec ( x )})

integral of e^{kt}

\int e^{k t} d t

(\partial)/(\partial x)((5x^3y+4y^5)^3)

\frac{\partial}{\partial x} ((5 x^{3} y + 4 y^{5})^{3})

(dy)/(dx)+4y-e^{-x}=0,y(0)= 4/3

\frac{d y}{d x} + 4 y - e^{- x} = 0, y (0) = \frac{4}{3}

Frequently Asked Questions (FAQ)

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