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Popular >

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

Solution

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

Solution

35 x^{4} - 6 x - 1

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d x} (7 x^{5}) = 35 x^{4}

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

\frac{d x}{d x} = 1

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

= 35 x^{4} - 6 x - 1 + 0

Simplify

= 35 x^{4} - 6 x - 1

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Frequently Asked Questions (FAQ)

What is the derivative of 7x^5-3x^2-x+5 ?
The derivative of 7x^5-3x^2-x+5 is 35x^4-6x-1
What is the first derivative of 7x^5-3x^2-x+5 ?
The first derivative of 7x^5-3x^2-x+5 is 35x^4-6x-1