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Popular Calculus >

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

Graph

Popular Examples

derivative of 6x^{7/2}+4x^{5/2}+2x

\frac{d}{d x} (6 x^{\frac{7}{2}} + 4 x^{\frac{5}{2}} + 2 x)

derivative of f(x)=sqrt(x)+\sqrt[5]{x}

d er i v a t i v e f (x) = x + 5 x

inverse oflaplace (e^{-pis})/(s-1)

in v erse l a pl a ce \frac{e ^{- π s}}{s - 1}

derivative of 2x^6

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

derivative of-2t(6t^6-1)^6

d er i v a t i v e - 2 t (6 t^{6} - 1)^{6}

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