What is the derivative of sin(4x-5) ?

The derivative of sin(4x-5) is cos(4x-5)*4

What is the first derivative of sin(4x-5) ?

The first derivative of sin(4x-5) is cos(4x-5)*4

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\frac{d}{d x} (sin (4 x - 5))

cos (4 x - 5) \cdot 4

Solution steps

\frac{d}{d x} (sin (4 x - 5))

Apply the chain rule:

cos (4 x - 5) \frac{d}{d x} (4 x - 5)

= cos (4 x - 5) \frac{d}{d x} (4 x - 5)

\frac{d}{d x} (4 x - 5) = 4

= cos (4 x - 5) \cdot 4

What is the derivative of sin(4x-5) ?
The derivative of sin(4x-5) is cos(4x-5)*4
What is the first derivative of sin(4x-5) ?
The first derivative of sin(4x-5) is cos(4x-5)*4