What is (\partial)/(\partial x)(5x^4y-3ysin(x)) ?

The answer to (\partial)/(\partial x)(5x^4y-3ysin(x)) is 20yx^3-3ycos(x)

Popular >

(\partial)/(\partial x)(5x^4y-3ysin(x))

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

20 y x^{3} - 3 y cos (x)

Solution steps

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

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{\partial}{\partial x} (5 x^{4} y) - \frac{\partial}{\partial x} (3 y sin (x))

\frac{\partial}{\partial x} (5 x^{4} y) = 20 y x^{3}

\frac{\partial}{\partial x} (3 y sin (x)) = 3 y cos (x)

= 20 y x^{3} - 3 y cos (x)

(4.4, 8997.96), (107.3, 21421.44)

f (x) = e^{l n (s i n (x^{2}))} 2 x + 1

y^{^{''}} - (\frac{3}{x}) y^{^{'}} - (\frac{5}{x ^{2}}) y = 0

\int \frac{25}{( x - 3 ) ( x ^{2} + 16 )} d x

\int e^{4 x} cos (6 x) d x

What is (\partial)/(\partial x)(5x^4y-3ysin(x)) ?
The answer to (\partial)/(\partial x)(5x^4y-3ysin(x)) is 20yx^3-3ycos(x)