What is the derivative of x^3y+y^3x-30 ?

The derivative of x^3y+y^3x-30 is y^3+3x^2y

What is the first derivative of x^3y+y^3x-30 ?

The first derivative of x^3y+y^3x-30 is y^3+3x^2y

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derivative of

x^{3} y + y^{3} x - 30

y^{3} + 3 x^{2} y

Solution steps

\frac{d}{d x} (x^{3} y + y^{3} x - 30)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3} y) + \frac{d}{d x} (y^{3} x) - \frac{d}{d x} (30)

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

\frac{d}{d x} (y^{3} x) = y^{3}

\frac{d}{d x} (30) = 0

= 3 y x^{2} + y^{3} - 0

Simplify

= y^{3} + 3 x^{2} y

x d y = (x + y) d x

f (x) = 1 - \frac{1}{x ^{\frac{2}{3}}}

y^{^{''}} + 6 y^{^{'}} + 10 y = 5 x - 2

\frac{d}{d θ} (1 + cos (θ))

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

What is the derivative of x^3y+y^3x-30 ?
The derivative of x^3y+y^3x-30 is y^3+3x^2y
What is the first derivative of x^3y+y^3x-30 ?
The first derivative of x^3y+y^3x-30 is y^3+3x^2y