What is the derivative of 1-cos(5x) ?

The derivative of 1-cos(5x) is 5sin(5x)

What is the first derivative of 1-cos(5x) ?

The first derivative of 1-cos(5x) is 5sin(5x)

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\frac{d}{d x} (1 - cos (5 x))

5 sin (5 x)

Solution steps

\frac{d}{d x} (1 - cos (5 x))

Apply the Sum/Difference Rule:

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

= \frac{d}{d x} (1) - \frac{d}{d x} (cos (5 x))

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

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

= 0 - (- sin (5 x) \cdot 5)

Simplify

= 5 sin (5 x)

x \to 1 lim (\frac{x + 3}{x + 1})

- 6 t^{2} δ (t - 5)

5 - 5 x^{3}

\frac{d}{d x} (\frac{2 x}{7 - cot ( x )})

1 (t)

What is the derivative of 1-cos(5x) ?
The derivative of 1-cos(5x) is 5sin(5x)
What is the first derivative of 1-cos(5x) ?
The first derivative of 1-cos(5x) is 5sin(5x)