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Popular >

d/(da)(sin^3(a)+cos^3(a))

Solution

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

Solution

3 sin^{2} (a) cos (a) - 3 cos^{2} (a) sin (a)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

\frac{d}{d a} (sin^{3} (a)) = 3 sin^{2} (a) cos (a)

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

= 3 sin^{2} (a) cos (a) - 3 cos^{2} (a) sin (a)

Graph

Popular Examples

tangent of f(x)= 1/(5+2x),(2, 1/9)tangent of

f (x) = \frac{1}{5 + 2 x}, (2, \frac{1}{9})

f (x) = 3 x^{2} - 2

integral of (3y^4+3y^2-1)/(y^3+y)

\int \frac{3 y ^{4} + 3 y ^{2} - 1}{y ^{3} + y} d y

d/(dy)(y(y-sin(x)))

\frac{d}{d y} (y (y - sin (x)))

limit as x approaches 10 of 15

x \to 10 lim (15)

Frequently Asked Questions (FAQ)

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