What is the d/(dy)(x-y^3+y^2sin(x)) ?

The d/(dy)(x-y^3+y^2sin(x)) is -3y^2+2ysin(x)

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

The first d/(dy)(x-y^3+y^2sin(x)) is -3y^2+2ysin(x)

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Popular >

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

- 3 y^{2} + 2 y sin (x)

Solution steps

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

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

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

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

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

= 0 - 3 y^{2} + 2 y sin (x)

Simplify

= - 3 y^{2} + 2 y sin (x)

x^{3} + 5

y \to - 3 lim ((5 - y)^{\frac{4}{3}})

f (x) = \frac{x ^{2} + 1}{x ^{2} + 4}

\frac{d}{d x} (1 + 9 x)

a^{8} + cos^{8} (x)

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