What is the derivative of tan(x+pi/4) ?

The derivative of tan(x+pi/4) is sec^2(x+pi/4)

What is the first derivative of tan(x+pi/4) ?

The first derivative of tan(x+pi/4) is sec^2(x+pi/4)

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\frac{d}{d x} (tan (x + \frac{π}{4}))

sec^{2} (x + \frac{π}{4})

Solution steps

\frac{d}{d x} (tan (x + \frac{π}{4}))

Apply the chain rule:

sec^{2} (x + \frac{π}{4}) \frac{d}{d x} (x + \frac{π}{4})

= sec^{2} (x + \frac{π}{4}) \frac{d}{d x} (x + \frac{π}{4})

\frac{d}{d x} (x + \frac{π}{4}) = 1

= sec^{2} (x + \frac{π}{4}) \cdot 1

Simplify

= sec^{2} (x + \frac{π}{4})

What is the derivative of tan(x+pi/4) ?
The derivative of tan(x+pi/4) is sec^2(x+pi/4)
What is the first derivative of tan(x+pi/4) ?
The first derivative of tan(x+pi/4) is sec^2(x+pi/4)