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Popular >

d/(dy)((x)(3x^2-xy^2))

Solution

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

Solution

- 2 x^{2} y

Solution steps

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

Treat

x

as a constant

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d y} (3 x^{2}) = 0

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

= x (0 - 2 x y)

Simplify

x (0 - 2 x y) : - 2 x^{2} y

= - 2 x^{2} y

Popular Examples

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d/(dy)((x)(2y^2x-3))

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

expand 1/(2(3y^5-1))expand

\frac{1}{2 ( 3 y ^{5} - 1 )}

((x+1))/(2(x-1))

\frac{( x + 1 )}{2 ( x - 1 )}

expand (2(1+x)sqrt(1+x))/3 expand

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

Frequently Asked Questions (FAQ)

What is the d/(dy)((x)(3x^2-xy^2)) ?
The d/(dy)((x)(3x^2-xy^2)) is -2x^2y
What is the first d/(dy)((x)(3x^2-xy^2)) ?
The first d/(dy)((x)(3x^2-xy^2)) is -2x^2y