What is the derivative of (x^2+x^3/(x^2)) ?

The derivative of (x^2+x^3/(x^2)) is 1

What is the first derivative of (x^2+x^3/(x^2)) ?

The first derivative of (x^2+x^3/(x^2)) is 1

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

1

Solution steps

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

Simplify

\frac{x ^{2} + x ^{3}}{x ^{2}} : 1 + x

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (1) = 0

\frac{d x}{d x} = 1

= 0 + 1

Simplify

= 1

x^{2} + 7 x - 8

\frac{d}{d x} (π cos (x))

e^{x}, e^{- 3 x}, x = ln (5)

\int \frac{x + 5}{x ^{2} + 9} d x

x \to 2 lim (f (x) + g (x))

What is the derivative of (x^2+x^3/(x^2)) ?
The derivative of (x^2+x^3/(x^2)) is 1
What is the first derivative of (x^2+x^3/(x^2)) ?
The first derivative of (x^2+x^3/(x^2)) is 1