What is the d/(da)(sin^4(a)-cos^4(a)+1) ?

The d/(da)(sin^4(a)-cos^4(a)+1) is 2sin(2a)

What is the first d/(da)(sin^4(a)-cos^4(a)+1) ?

The first d/(da)(sin^4(a)-cos^4(a)+1) is 2sin(2a)

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\frac{d}{d a} (sin^{4} (a) - cos^{4} (a) + 1)

2 sin (2 a)

Solution steps

\frac{d}{d a} (sin^{4} (a) - cos^{4} (a) + 1)

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} (1)

\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} (1) = 0

= 4 sin^{3} (a) cos (a) - (- 4 cos^{3} (a) sin (a)) + 0

Simplify

4 sin^{3} (a) cos (a) - (- 4 cos^{3} (a) sin (a)) + 0 : 2 sin (2 a)

= 2 sin (2 a)

3 + 4 t

x (ln (x))^{2} - e

(x^{x})^{3}

\frac{x}{x ^{3} + 1}

\frac{d}{d n} ((- i)^{4 n})

What is the d/(da)(sin^4(a)-cos^4(a)+1) ?
The d/(da)(sin^4(a)-cos^4(a)+1) is 2sin(2a)
What is the first d/(da)(sin^4(a)-cos^4(a)+1) ?
The first d/(da)(sin^4(a)-cos^4(a)+1) is 2sin(2a)