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Popular >

derivative of 4x^3-5x^2+3x-5

Solution

\frac{d}{d x} (4 x^{3} - 5 x^{2} + 3 x - 5)

Solution

12 x^{2} - 10 x + 3

Solution steps

\frac{d}{d x} (4 x^{3} - 5 x^{2} + 3 x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (4 x^{3}) - \frac{d}{d x} (5 x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (5)

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

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

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

\frac{d}{d x} (5) = 0

= 12 x^{2} - 10 x + 3 - 0

Simplify

= 12 x^{2} - 10 x + 3

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Frequently Asked Questions (FAQ)

What is the derivative of 4x^3-5x^2+3x-5 ?
The derivative of 4x^3-5x^2+3x-5 is 12x^2-10x+3
What is the first derivative of 4x^3-5x^2+3x-5 ?
The first derivative of 4x^3-5x^2+3x-5 is 12x^2-10x+3