What is the derivative of x^2sin(x+2) ?

The derivative of x^2sin(x+2) is x^2cos(x)+2xsin(x)

What is the first derivative of x^2sin(x+2) ?

The first derivative of x^2sin(x+2) is x^2cos(x)+2xsin(x)

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

x^{2} cos (x) + 2 x sin (x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

= 2 x sin (x) + cos (x) x^{2} + 0

Simplify

= x^{2} cos (x) + 2 x sin (x)

\int (7 + e) d x

\int_{1}^{\infty} \frac{ln ( x )}{x} d x

\frac{d}{d x} (x^{4} - \frac{1}{x})

x \to 4 lim (x^{2} - 4 x + 1)

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