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Popular Calculus >

derivative of f(x)=x^3-7x^2+6x+1

Solution

derivative of

f (x) = x^{3} - 7 x^{2} + 6 x + 1

Solution

3 x^{2} - 14 x + 6

Solution steps

\frac{d}{d x} (x^{3} - 7 x^{2} + 6 x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (x^{3}) - \frac{d}{d x} (7 x^{2}) + \frac{d}{d x} (6 x) + \frac{d}{d x} (1)

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

\frac{d}{d x} (7 x^{2}) = 14 x

\frac{d}{d x} (6 x) = 6

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

= 3 x^{2} - 14 x + 6 + 0

Simplify

= 3 x^{2} - 14 x + 6

Graph

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Frequently Asked Questions (FAQ)

What is the derivative of f(x)=x^3-7x^2+6x+1 ?
The derivative of f(x)=x^3-7x^2+6x+1 is 3x^2-14x+6
What is the first derivative of f(x)=x^3-7x^2+6x+1 ?
The first derivative of f(x)=x^3-7x^2+6x+1 is 3x^2-14x+6