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Popular >

derivative of 7x^3-2x^2+3x-5

Solution

derivative of

7 x^{3} - 2 x^{2} + 3 x - 5

Solution

21 x^{2} - 4 x + 3

Solution steps

\frac{d}{d x} (7 x^{3} - 2 x^{2} + 3 x - 5)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (7 x^{3}) - \frac{d}{d x} (2 x^{2}) + \frac{d}{d x} (3 x) - \frac{d}{d x} (5)

\frac{d}{d x} (7 x^{3}) = 21 x^{2}

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

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

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

= 21 x^{2} - 4 x + 3 - 0

Simplify

= 21 x^{2} - 4 x + 3

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Frequently Asked Questions (FAQ)

What is the derivative of 7x^3-2x^2+3x-5 ?
The derivative of 7x^3-2x^2+3x-5 is 21x^2-4x+3
What is the first derivative of 7x^3-2x^2+3x-5 ?
The first derivative of 7x^3-2x^2+3x-5 is 21x^2-4x+3