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Popular >

d/(da)(sin(a)-sin(6a)+sin(5a))

Solution

\frac{d}{d a} (sin (a) - sin (6 a) + sin (5 a))

Solution

cos (a) - cos (6 a) \cdot 6 + cos (5 a) \cdot 5

Solution steps

\frac{d}{d a} (sin (a) - sin (6 a) + sin (5 a))

Apply the Sum/Difference Rule:

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

= \frac{d}{d a} (sin (a)) - \frac{d}{d a} (sin (6 a)) + \frac{d}{d a} (sin (5 a))

\frac{d}{d a} (sin (a)) = cos (a)

\frac{d}{d a} (sin (6 a)) = cos (6 a) \cdot 6

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

= cos (a) - cos (6 a) \cdot 6 + cos (5 a) \cdot 5

Popular Examples

limit as x approaches 0 of e^{-4x}

x \to 0 lim (e^{- 4 x})

y^'=(1.5-0.8y)/(0.5+0.8x)

y^{^{'}} = \frac{1.5 - 0.8 y}{0.5 + 0.8 x}

integral of x(e^{x^2}+2)

\int x (e^{x^{2}} + 2) d x

derivative of arcsin(4x^4)

\frac{d}{d x} (arcsin (4 x^{4}))

derivative of 2cos(x+cos(2)(x))

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

Frequently Asked Questions (FAQ)

What is the d/(da)(sin(a)-sin(6a)+sin(5a)) ?
The d/(da)(sin(a)-sin(6a)+sin(5a)) is cos(a)-cos(6a)*6+cos(5a)*5
What is the first d/(da)(sin(a)-sin(6a)+sin(5a)) ?
The first d/(da)(sin(a)-sin(6a)+sin(5a)) is cos(a)-cos(6a)*6+cos(5a)*5