What is the derivative of x^2sin(8x) ?

The derivative of x^2sin(8x) is 2xsin(8x)+cos(8x)*8x^2

What is the first derivative of x^2sin(8x) ?

The first derivative of x^2sin(8x) is 2xsin(8x)+cos(8x)*8x^2

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derivative of

x^{2} sin (8 x)

2 x sin (8 x) + cos (8 x) \cdot 8 x^{2}

Solution steps

\frac{d}{d x} (x^{2} sin (8 x))

Apply the Product Rule:

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

f = x^{2}, g = sin (8 x)

= \frac{d}{d x} (x^{2}) sin (8 x) + \frac{d}{d x} (sin (8 x)) x^{2}

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

\frac{d}{d x} (sin (8 x)) = cos (8 x) \cdot 8

= 2 x sin (8 x) + cos (8 x) \cdot 8 x^{2}

y^{^{''}} - 4 y = 0

\int (x^{\frac{3}{2}} + 6)^{8} x d x

\frac{\partial}{\partial x} (10 x y)

\frac{d}{d x} (x^{2} - 4)

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

What is the derivative of x^2sin(8x) ?
The derivative of x^2sin(8x) is 2xsin(8x)+cos(8x)*8x^2
What is the first derivative of x^2sin(8x) ?
The first derivative of x^2sin(8x) is 2xsin(8x)+cos(8x)*8x^2