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Popular >

derivative of 4x^3+3x^2+2x+1

Solution

\frac{d}{d x} (4 x^{3} + 3 x^{2} + 2 x + 1)

Solution

12 x^{2} + 6 x + 2

Solution steps

\frac{d}{d x} (4 x^{3} + 3 x^{2} + 2 x + 1)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) + \frac{d}{d x} (3 x^{2}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (1)

\frac{d}{d x} (4 x^{3}) = 12 x^{2}

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

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

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

= 12 x^{2} + 6 x + 2 + 0

Simplify

= 12 x^{2} + 6 x + 2

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\int_{2}^{6} \frac{x - 4}{x + 1} d x

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\int x^{2} \cdot ln (6 x) d x

Frequently Asked Questions (FAQ)

What is the derivative of 4x^3+3x^2+2x+1 ?
The derivative of 4x^3+3x^2+2x+1 is 12x^2+6x+2
What is the first derivative of 4x^3+3x^2+2x+1 ?
The first derivative of 4x^3+3x^2+2x+1 is 12x^2+6x+2