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

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

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

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

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derivative of

x^{2} \cdot sin (x)

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

Solution steps

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

Apply the Product Rule:

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

f = x^{2}, g = sin (x)

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

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

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

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

f (x) = 3 x^{2} - 2 x

- 9 x^{4}

\int sin (\frac{π x}{2}) d x

ln (x - x^{2})

\frac{d}{d x} (\frac{4 π x + 3 x ^{6}}{x})

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