What is the derivative of a^2+cos^2(x) ?

The derivative of a^2+cos^2(x) is -sin(2x)

What is the first derivative of a^2+cos^2(x) ?

The first derivative of a^2+cos^2(x) is -sin(2x)

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derivative of

a^{2} + cos^{2} (x)

- sin (2 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (a^{2}) + \frac{d}{d x} (cos^{2} (x))

\frac{d}{d x} (a^{2}) = 0

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

= 0 - sin (2 x)

Simplify

= - sin (2 x)

y = \frac{100}{25 + x ^{2}}, y = 1

(4 y + 2 x - 5) d x + (6 y + 4 x - 1) d y = 0

\frac{d}{d y} (\frac{x}{x ^{2} + y ^{2}})

y^{^{''}} - y^{^{'}} - 6 y = e^{- 2 x}

f (x) = \frac{2 x - 3}{2 x + 5}, at x = - 1

What is the derivative of a^2+cos^2(x) ?
The derivative of a^2+cos^2(x) is -sin(2x)
What is the first derivative of a^2+cos^2(x) ?
The first derivative of a^2+cos^2(x) is -sin(2x)