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Popular >

derivative of 6x^2-8+40cos(pix)

Solution

\frac{d}{d x} (6 x^{2} - 8 + 40 cos (π) x)

Solution

12 x - 40

Solution steps

\frac{d}{d x} (6 x^{2} - 8 + 40 cos (π) x)

Simplify

6 x^{2} - 8 + 40 cos (π) x : 6 x^{2} - 8 - 40 x

= \frac{d}{d x} (6 x^{2} - 8 - 40 x)

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (6 x^{2}) - \frac{d}{d x} (8) - \frac{d}{d x} (40 x)

\frac{d}{d x} (6 x^{2}) = 12 x

\frac{d}{d x} (8) = 0

\frac{d}{d x} (40 x) = 40

= 12 x - 0 - 40

Simplify

= 12 x - 40

Popular Examples

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\int \frac{x ^{3}}{1 + x ^{2}} d x

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\frac{d}{d x} (\frac{2 x + 1}{x})

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\frac{\partial}{\partial y} (x + 1)

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Frequently Asked Questions (FAQ)

What is the derivative of 6x^2-8+40cos(pix) ?
The derivative of 6x^2-8+40cos(pix) is 12x-40
What is the first derivative of 6x^2-8+40cos(pix) ?
The first derivative of 6x^2-8+40cos(pix) is 12x-40