What is the derivative of sec(5x+2) ?

The derivative of sec(5x+2) is sec(5x+2)tan(5x+2)*5

What is the first derivative of sec(5x+2) ?

The first derivative of sec(5x+2) is sec(5x+2)tan(5x+2)*5

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\frac{d}{d x} (sec (5 x + 2))

sec (5 x + 2) tan (5 x + 2) \cdot 5

Solution steps

\frac{d}{d x} (sec (5 x + 2))

Apply the chain rule:

sec (5 x + 2) tan (5 x + 2) \frac{d}{d x} (5 x + 2)

= sec (5 x + 2) tan (5 x + 2) \frac{d}{d x} (5 x + 2)

\frac{d}{d x} (5 x + 2) = 5

= sec (5 x + 2) tan (5 x + 2) \cdot 5

What is the derivative of sec(5x+2) ?
The derivative of sec(5x+2) is sec(5x+2)tan(5x+2)*5
What is the first derivative of sec(5x+2) ?
The first derivative of sec(5x+2) is sec(5x+2)tan(5x+2)*5