What is the d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) ?

The d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) is 4sin^3(a)cos(a)+4cos^3(a)sin(a)-2sin(2a)

What is the first d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) ?

The first d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) is 4sin^3(a)cos(a)+4cos^3(a)sin(a)-2sin(2a)

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\frac{d}{d a} (sin^{4} (a) - cos^{4} (a) + 2 cos^{2} (a))

4 sin^{3} (a) cos (a) + 4 cos^{3} (a) sin (a) - 2 sin (2 a)

Solution steps

\frac{d}{d a} (sin^{4} (a) - cos^{4} (a) + 2 cos^{2} (a))

Apply the Sum/Difference Rule:

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

= \frac{d}{d a} (sin^{4} (a)) - \frac{d}{d a} (cos^{4} (a)) + \frac{d}{d a} (2 cos^{2} (a))

\frac{d}{d a} (sin^{4} (a)) = 4 sin^{3} (a) cos (a)

\frac{d}{d a} (cos^{4} (a)) = - 4 cos^{3} (a) sin (a)

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

= 4 sin^{3} (a) cos (a) - (- 4 cos^{3} (a) sin (a)) - 2 sin (2 a)

Simplify

= 4 sin^{3} (a) cos (a) + 4 cos^{3} (a) sin (a) - 2 sin (2 a)

\int \frac{sin ( 2 x )}{1 + cos ^{4} ( x )} d x

y = \frac{x + 1}{x}

x \to - 87 lim (F (x))

\int_{0}^{1} x^{4} e^{- x} d x

n = 0 \sum \infty 5 \cdot 3^{n}

What is the d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) ?
The d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) is 4sin^3(a)cos(a)+4cos^3(a)sin(a)-2sin(2a)
What is the first d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) ?
The first d/(da)(sin^4(a)-cos^4(a)+2cos^2(a)) is 4sin^3(a)cos(a)+4cos^3(a)sin(a)-2sin(2a)