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Popular >

derivative of-3asin(3x+bcos(3x)*3)

Solution

\frac{d}{d x} (- 3 a sin (3 x) + b cos (3 x) \cdot 3)

Solution

- 9 a cos (3 x) - 9 b sin (3 x)

Solution steps

\frac{d}{d x} (- 3 a sin (3 x) + b cos (3 x) \cdot 3)

Apply the Sum/Difference Rule:

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

= - \frac{d}{d x} (3 a sin (3 x)) + \frac{d}{d x} (b cos (3 x) \cdot 3)

\frac{d}{d x} (3 a sin (3 x)) = 9 a cos (3 x)

\frac{d}{d x} (b cos (3 x) \cdot 3) = - 9 b sin (3 x)

= - 9 a cos (3 x) - 9 b sin (3 x)

Popular Examples

derivative of (sin(2x)/x)

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

limit as x approaches 2 of 9-x^2

x \to 2 lim (9 - x^{2})

limit as x approaches-2 of (2x-1)/(x+2)

x \to - 2 lim (\frac{2 x - 1}{x + 2})

3 y^{^{''}} + 12 y = 0

x(dy)/(dx)+3y=(1+x)/(x^3)

x \frac{d y}{d x} + 3 y = \frac{1 + x}{x ^{3}}

Frequently Asked Questions (FAQ)

What is the derivative of-3asin(3x+bcos(3x)*3) ?
The derivative of-3asin(3x+bcos(3x)*3) is -9acos(3x)-9bsin(3x)
What is the first derivative of-3asin(3x+bcos(3x)*3) ?
The first derivative of-3asin(3x+bcos(3x)*3) is -9acos(3x)-9bsin(3x)