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Popular >

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

Solution

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

Solution

2 y

Solution steps

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

Treat

x

as a constant

Apply the Sum/Difference Rule:

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

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

\frac{d x}{d y} = 0

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

= 0 + 2 y

Simplify

= 2 y

Popular Examples

integral of xsqrt(2-x^2)-x^2

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

(dy)/(dx)=(sec(y))/((x-4)^2)

\frac{d y}{d x} = \frac{sec ( y )}{( x - 4 ) ^{2}}

integral of 2xe^{x^2}csc^2(e^{x^2})

\int 2 x e^{x^{2}} csc^{2} (e^{x^{2}}) d x

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

limit as x approaches-7-of 1/(x^2-49)

x \to - 7 - lim (\frac{1}{x ^{2} - 49})

Frequently Asked Questions (FAQ)

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