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

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

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

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

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

- 5 sin (5 x)

Solution steps

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

Apply the Sum/Difference Rule:

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

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

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

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

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

Simplify

= - 5 sin (5 x)

\int \frac{1 - cos ( x )}{1 + sin ( x )} d x

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

y^{^{''}} + 16 y^{^{'}} = 0

\int (sin^{2} (7 t)) d t

\frac{d}{d x} (5^{l n (x)})

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