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Popular >

derivative of-2asin(2x+bcos(2x)*2)

Solution

\frac{d}{d x} (- 2 a sin (2 x) + b cos (2 x) \cdot 2)

Solution

- 4 a cos (2 x) - 4 b sin (2 x)

Solution steps

\frac{d}{d x} (- 2 a sin (2 x) + b cos (2 x) \cdot 2)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (2 a sin (2 x)) + \frac{d}{d x} (b cos (2 x) \cdot 2)

\frac{d}{d x} (2 a sin (2 x)) = 4 a cos (2 x)

\frac{d}{d x} (b cos (2 x) \cdot 2) = - 4 b sin (2 x)

= - 4 a cos (2 x) - 4 b sin (2 x)

Popular Examples

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x \to 0 + lim (\frac{l ( x )}{x ^{3}})

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x \to 8 lim (\frac{4}{( x - 8 ) ^{2}})

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\frac{d}{d x} (cos^{3} (x) + sin^{4} (x))

(\partial)/(\partial x)(8ln(cos(x)))

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(\partial)/(\partial x)(5sin(3x)cos(4y))

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Frequently Asked Questions (FAQ)

What is the derivative of-2asin(2x+bcos(2x)*2) ?
The derivative of-2asin(2x+bcos(2x)*2) is -4acos(2x)-4bsin(2x)
What is the first derivative of-2asin(2x+bcos(2x)*2) ?
The first derivative of-2asin(2x+bcos(2x)*2) is -4acos(2x)-4bsin(2x)