What is the derivative of 9x^3-x^2y+y^3-3 ?

The derivative of 9x^3-x^2y+y^3-3 is 27x^2-2xy

What is the first derivative of 9x^3-x^2y+y^3-3 ?

The first derivative of 9x^3-x^2y+y^3-3 is 27x^2-2xy

Popular >

derivative of

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

27 x^{2} - 2 x y

Solution steps

\frac{d}{d x} (9 x^{3} - x^{2} y + y^{3} - 3)

Treat

y

as a constant

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (9 x^{3}) - \frac{d}{d x} (x^{2} y) + \frac{d}{d x} (y^{3}) - \frac{d}{d x} (3)

\frac{d}{d x} (9 x^{3}) = 27 x^{2}

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

\frac{d}{d x} (y^{3}) = 0

\frac{d}{d x} (3) = 0

= 27 x^{2} - 2 y x + 0 - 0

Simplify

= 27 x^{2} - 2 x y

\frac{\partial}{\partial y} (x y^{2} - 2 x)

\int (x + 1)^{2} e^{1 - x} d x

f (x) = (x + 3)^{4} (7 - x)^{5}

\frac{\partial}{\partial y} (x y + z)

\frac{d}{d x} (\frac{1}{( 2 x + 3 ) ^{3}})

What is the derivative of 9x^3-x^2y+y^3-3 ?
The derivative of 9x^3-x^2y+y^3-3 is 27x^2-2xy
What is the first derivative of 9x^3-x^2y+y^3-3 ?
The first derivative of 9x^3-x^2y+y^3-3 is 27x^2-2xy