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

The derivative of cos(5x-pi/2) is cos(5x)*5

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

The first derivative of cos(5x-pi/2) is cos(5x)*5

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

cos (5 x) \cdot 5

Solution steps

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

Simplify

cos (5 x - \frac{π}{2}) : sin (5 x)

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

Apply the chain rule:

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

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

\frac{d}{d x} (5 x) = 5

= cos (5 x) \cdot 5

\frac{s}{s ^{2} - s + 1}

\frac{3}{s ( s + 3 )}

x^{2} + 3 x

\frac{\partial}{\partial x} (x^{2} y^{3} + x y - 2)

\int_{l n (4)}^{l n (9)} e^{\frac{x}{2}} d x

What is the derivative of cos(5x-pi/2) ?
The derivative of cos(5x-pi/2) is cos(5x)*5
What is the first derivative of cos(5x-pi/2) ?
The first derivative of cos(5x-pi/2) is cos(5x)*5