What is the derivative of x-5x^2+x^3 ?

The derivative of x-5x^2+x^3 is 1-10x+3x^2

What is the first derivative of x-5x^2+x^3 ?

The first derivative of x-5x^2+x^3 is 1-10x+3x^2

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

1 - 10 x + 3 x^{2}

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

= 1 - 10 x + 3 x^{2}

3 x^{2} + 3 x - 8, 2 x^{2} + x + 7

(3^{x})^{^{'}}

\frac{d}{d x} (cos (sin^{2} (x)))

(1.2) (- 3.4)

\int (cos (x) + \frac{1}{cos ( x )})^{2} d x

What is the derivative of x-5x^2+x^3 ?
The derivative of x-5x^2+x^3 is 1-10x+3x^2
What is the first derivative of x-5x^2+x^3 ?
The first derivative of x-5x^2+x^3 is 1-10x+3x^2