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Popular >

d/(dy)(x*y^2)

Solution

\frac{d}{d y} (x \cdot 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

d/(dt)(-asin(t)+bcos(t))

\frac{d}{d t} (- a sin (t) + b cos (t))

limit as x approaches 0 of (tan(8x))^x

x \to 0 lim ((tan (8 x))^{x})

derivative of (3x/(e^x))

\frac{d}{d x} (\frac{3 x}{e ^{x}})

integral of 1/(xsqrt(9x^2+49))

\int \frac{1}{x 9 x ^{2} + 49} d x

integral of 12xe^{-2x}

\int 12 x e^{- 2 x} d x

Frequently Asked Questions (FAQ)

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