What is the derivative of sin(x+pi/2) ?

The derivative of sin(x+pi/2) is -sin(x)

What is the first derivative of sin(x+pi/2) ?

The first derivative of sin(x+pi/2) is -sin(x)

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derivative of

sin (x + \frac{π}{2})

- sin (x)

Solution steps

\frac{d}{d x} (sin (x + \frac{π}{2}))

Simplify

sin (x + \frac{π}{2}) : cos (x)

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

Apply the common derivative:

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

= - sin (x)

y^{^{'}} = \frac{y ^{2} + 2 x y}{x ^{2}}

\int_{0}^{\frac{π}{2}} 4 cos^{5} (x) d x

3 y^{^{''}} - 6 y^{^{'}} + 3 y = 0

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

\int \frac{e ^{t}}{1 + e ^{t}} d t

What is the derivative of sin(x+pi/2) ?
The derivative of sin(x+pi/2) is -sin(x)
What is the first derivative of sin(x+pi/2) ?
The first derivative of sin(x+pi/2) is -sin(x)