What is the derivative of x^3-x^2+7x-1 ?

The derivative of x^3-x^2+7x-1 is 3x^2-2x+7

What is the first derivative of x^3-x^2+7x-1 ?

The first derivative of x^3-x^2+7x-1 is 3x^2-2x+7

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\frac{d}{d x} (x^{3} - x^{2} + 7 x - 1)

3 x^{2} - 2 x + 7

Solution steps

\frac{d}{d x} (x^{3} - x^{2} + 7 x - 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (x^{2}) + \frac{d}{d x} (7 x) - \frac{d}{d x} (1)

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

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

\frac{d}{d x} (7 x) = 7

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

= 3 x^{2} - 2 x + 7 - 0

Simplify

= 3 x^{2} - 2 x + 7

\int 2 \cdot cos (x) d x

h \to 0 lim (\frac{cos ( h ) - 1}{h})

x \to 1 lim (e^{- x})

f (x) = (2 x - 1) (x + 2), at x = (1.3)

\int \frac{ln ( 14 x )}{x ^{6}} d x

What is the derivative of x^3-x^2+7x-1 ?
The derivative of x^3-x^2+7x-1 is 3x^2-2x+7
What is the first derivative of x^3-x^2+7x-1 ?
The first derivative of x^3-x^2+7x-1 is 3x^2-2x+7