What is the derivative of f(x)=5x^2-x^3 ?

The derivative of f(x)=5x^2-x^3 is 10x-3x^2

What is the first derivative of f(x)=5x^2-x^3 ?

The first derivative of f(x)=5x^2-x^3 is 10x-3x^2

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derivative of

f (x) = 5 x^{2} - x^{3}

10 x - 3 x^{2}

Solution steps

\frac{d}{d x} (5 x^{2} - x^{3})

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (5 x^{2}) - \frac{d}{d x} (x^{3})

\frac{d}{d x} (5 x^{2}) = 10 x

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

= 10 x - 3 x^{2}

\int_{\frac{π}{2}}^{π} 3 x - sin (x) d x

\int \frac{x}{( x ^{2} - 1 ) [ ln ( x ^{2} - 1 ) ] ^{2}} d x

y^{^{'}} = 5 y^{2} sin (x)

\frac{d}{d x} (x^{c o t (x)})

\frac{\partial}{\partial y} (sin (\frac{x}{y}))

What is the derivative of f(x)=5x^2-x^3 ?
The derivative of f(x)=5x^2-x^3 is 10x-3x^2
What is the first derivative of f(x)=5x^2-x^3 ?
The first derivative of f(x)=5x^2-x^3 is 10x-3x^2