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Popular >

d/(da)(sin(a)-sin(2a)+sin(3a))

Solution

\frac{d}{d a} (sin (a) - sin (2 a) + sin (3 a))

Solution

cos (a) - cos (2 a) \cdot 2 + cos (3 a) \cdot 3

Solution steps

\frac{d}{d a} (sin (a) - sin (2 a) + sin (3 a))

Apply the Sum/Difference Rule:

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

= \frac{d}{d a} (sin (a)) - \frac{d}{d a} (sin (2 a)) + \frac{d}{d a} (sin (3 a))

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

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

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

= cos (a) - cos (2 a) \cdot 2 + cos (3 a) \cdot 3

Popular Examples

limit as x approaches 0-of xcot(x)

x \to 0 - lim (x cot (x))

derivative of y= 7/(x^3)derivative of

y = \frac{7}{x ^{3}}

derivative of 1/(pi-x)

\frac{d}{d x} (\frac{1}{π - x})

(y^')/(y-y^2)= t/((1+t^2))

\frac{y ^{^{'}}}{y - y ^{2}} = \frac{t}{( 1 + t ^{2} )}

tangent of f(x)=-2xcos(x),(pi,2pi)tangent of

f (x) = - 2 x cos (x), (π, 2 π)

Frequently Asked Questions (FAQ)

What is the d/(da)(sin(a)-sin(2a)+sin(3a)) ?
The d/(da)(sin(a)-sin(2a)+sin(3a)) is cos(a)-cos(2a)*2+cos(3a)*3
What is the first d/(da)(sin(a)-sin(2a)+sin(3a)) ?
The first d/(da)(sin(a)-sin(2a)+sin(3a)) is cos(a)-cos(2a)*2+cos(3a)*3