What is the derivative of sqrt(3)cos(5x+sin(5x)) ?

The derivative of sqrt(3)cos(5x+sin(5x)) is -5sqrt(3)sin(5x)+cos(5x)*5

What is the first derivative of sqrt(3)cos(5x+sin(5x)) ?

The first derivative of sqrt(3)cos(5x+sin(5x)) is -5sqrt(3)sin(5x)+cos(5x)*5

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\frac{d}{d x} (3 cos (5 x) + sin (5 x))

- 53 sin (5 x) + cos (5 x) \cdot 5

Solution steps

\frac{d}{d x} (3 cos (5 x) + sin (5 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (3 cos (5 x)) + \frac{d}{d x} (sin (5 x))

\frac{d}{d x} (3 cos (5 x)) = - 53 sin (5 x)

\frac{d}{d x} (sin (5 x)) = cos (5 x) \cdot 5

= - 53 sin (5 x) + cos (5 x) \cdot 5

\int_{1}^{16} \frac{1}{2 x} d x

\int \frac{- x + 8}{- x ^{2} - x + 8} d x

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

\frac{1}{1 + 1 x}

y^{^{'}} + t y = t

What is the derivative of sqrt(3)cos(5x+sin(5x)) ?
The derivative of sqrt(3)cos(5x+sin(5x)) is -5sqrt(3)sin(5x)+cos(5x)*5
What is the first derivative of sqrt(3)cos(5x+sin(5x)) ?
The first derivative of sqrt(3)cos(5x+sin(5x)) is -5sqrt(3)sin(5x)+cos(5x)*5