What is the derivative of cos^2(5-x) ?

The derivative of cos^2(5-x) is sin(2(5-x))

What is the first derivative of cos^2(5-x) ?

The first derivative of cos^2(5-x) is sin(2(5-x))

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\frac{d}{d x} (cos^{2} (5 - x))

sin (2 (5 - x))

Solution steps

\frac{d}{d x} (cos^{2} (5 - x))

Apply the chain rule:

2 cos (5 - x) \frac{d}{d x} (cos (5 - x))

= 2 cos (5 - x) \frac{d}{d x} (cos (5 - x))

\frac{d}{d x} (cos (5 - x)) = sin (5 - x)

= 2 cos (5 - x) sin (5 - x)

Use the Double Angle identity:

2 sin (x) cos (x) = sin (2 x)

= sin (2 (5 - x))

\frac{d y}{d t} + e^{t} y = - 5 e^{t}

\int x^{2} y cos (x) + 2 x y sin (x) - y^{2} e^{x} d x

\int (\frac{1}{( 25 - x ^{2} ) ^{\frac{3}{2}}}) d x

\int \frac{5 + x}{5 - x} d x

f (x) = \frac{2 x ^{2} - 5 x + 3}{5 x - 3}

What is the derivative of cos^2(5-x) ?
The derivative of cos^2(5-x) is sin(2(5-x))
What is the first derivative of cos^2(5-x) ?
The first derivative of cos^2(5-x) is sin(2(5-x))