What is the derivative of a(1-cos(x)) ?

The derivative of a(1-cos(x)) is asin(x)

What is the first derivative of a(1-cos(x)) ?

The first derivative of a(1-cos(x)) is asin(x)

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\frac{d}{d x} (a (1 - cos (x)))

a sin (x)

Solution steps

\frac{d}{d x} (a (1 - cos (x)))

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= a \frac{d}{d x} (1 - cos (x))

Apply the Sum/Difference Rule:

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

= a (\frac{d}{d x} (1) - \frac{d}{d x} (cos (x)))

\frac{d}{d x} (1) = 0

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

= a (0 - (- sin (x)))

Simplify

= a sin (x)

\frac{\partial}{\partial x} (e^{2 y^{2}} + 4 x^{2})

\int_{1}^{5} \frac{1}{( x - 4 ) ^{2}} d x

\int - 2 x cos (3 x) d x

\frac{d}{d x} ((x^{2} - 2 x)^{s i n (x)})

y^{^{'}} + 3 y = x + e^{- 2 x}

What is the derivative of a(1-cos(x)) ?
The derivative of a(1-cos(x)) is asin(x)
What is the first derivative of a(1-cos(x)) ?
The first derivative of a(1-cos(x)) is asin(x)