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Popular >

derivative of 6x^4-7x^3+2x+sqrt(2)

Solution

\frac{d}{d x} (6 x^{4} - 7 x^{3} + 2 x + 2)

Solution

24 x^{3} - 21 x^{2} + 2

Solution steps

\frac{d}{d x} (6 x^{4} - 7 x^{3} + 2 x + 2)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{4}) - \frac{d}{d x} (7 x^{3}) + \frac{d}{d x} (2 x) + \frac{d}{d x} (2)

\frac{d}{d x} (6 x^{4}) = 24 x^{3}

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

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

\frac{d}{d x} (2) = 0

= 24 x^{3} - 21 x^{2} + 2 + 0

Simplify

= 24 x^{3} - 21 x^{2} + 2

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Frequently Asked Questions (FAQ)

What is the derivative of 6x^4-7x^3+2x+sqrt(2) ?
The derivative of 6x^4-7x^3+2x+sqrt(2) is 24x^3-21x^2+2
What is the first derivative of 6x^4-7x^3+2x+sqrt(2) ?
The first derivative of 6x^4-7x^3+2x+sqrt(2) is 24x^3-21x^2+2