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Popular >

derivative of x^3-3x^2+3x-3

Solution

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

Solution

3 x^{2} - 6 x + 3

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

\frac{d}{d x} (3 x^{2}) = 6 x

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

\frac{d}{d x} (3) = 0

= 3 x^{2} - 6 x + 3 - 0

Simplify

= 3 x^{2} - 6 x + 3

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x \to 0 + lim ((1 + 4 x)^{\frac{5}{x}})

implicit (dy)/(dx),y^5=x^7 implicit derivative

\frac{d y}{d x}, y^{5} = x^{7}

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integral of (arcsin(4x))/(sqrt(1-16x^2))

\int \frac{arcsin ( 4 x )}{1 - 16 x ^{2}} d x

d/(d{r)}(sqrt({r)}+\sqrt[7]{{r}})

Frequently Asked Questions (FAQ)

What is the derivative of x^3-3x^2+3x-3 ?
The derivative of x^3-3x^2+3x-3 is 3x^2-6x+3
What is the first derivative of x^3-3x^2+3x-3 ?
The first derivative of x^3-3x^2+3x-3 is 3x^2-6x+3