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Popular >

(\partial)/(\partial x)(2x^3y+sin(x^3))

Solution

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{3}))

Solution

6 y x^{2} + cos (x^{3}) \cdot 3 x^{2}

Solution steps

\frac{\partial}{\partial x} (2 x^{3} y + sin (x^{3}))

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (2 x^{3} y) + \frac{\partial}{\partial x} (sin (x^{3}))

\frac{\partial}{\partial x} (2 x^{3} y) = 6 y x^{2}

\frac{\partial}{\partial x} (sin (x^{3})) = cos (x^{3}) \cdot 3 x^{2}

= 6 y x^{2} + cos (x^{3}) \cdot 3 x^{2}

Popular Examples

y^{^{'}} + 4 y = sin (3 t)

integral of (2x^2+3x)^3

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

derivative of y=(f(x))/(x^5)derivative of

y = \frac{f ( x )}{x ^{5}}

derivative of 2tan^2(7x)derivative of

2 tan^{2} (7 x)

(2xy+3)dx+(x^2-1)dy=0

(2 x y + 3) d x + (x^{2} - 1) d y = 0

Frequently Asked Questions (FAQ)

What is (\partial)/(\partial x)(2x^3y+sin(x^3)) ?
The answer to (\partial)/(\partial x)(2x^3y+sin(x^3)) is 6yx^2+cos(x^3)*3x^2