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Popular >

d/(dy)(xy^2)

Solution

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

Solution

2 x y

Solution steps

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

Treat

x

as a constant

Take the constant out:

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

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

Apply the Power Rule:

\frac{d}{d x} (x^{a}) = a \cdot x^{a - 1}

= x \cdot 2 y^{2 - 1}

Simplify

= 2 x y

Popular Examples

integral of tsin(kt)

\int t sin (k t) d t

integral of 1/(y^2sqrt(y^2+16))

\int \frac{1}{y ^{2} y ^{2} + 16} d y

integral of 1/(sqrt(x^2-5^2))

\int \frac{1}{x ^{2} - 5 ^{2}} d x

integral of 1/2 xe^{-1/2 x}

\int \frac{1}{2} x e^{- \frac{1}{2} x} d x

derivative of 4x^{5/4}+10x^{3/2}+8x derivative of

4 x^{\frac{5}{4}} + 10 x^{\frac{3}{2}} + 8 x

Frequently Asked Questions (FAQ)

What is the d/(dy)(xy^2) ?
The d/(dy)(xy^2) is 2xy
What is the first d/(dy)(xy^2) ?
The first d/(dy)(xy^2) is 2xy