What is the derivative of tan(2x+3) ?

The derivative of tan(2x+3) is sec^2(2x+3)*2

What is the first derivative of tan(2x+3) ?

The first derivative of tan(2x+3) is sec^2(2x+3)*2

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derivative of

tan (2 x + 3)

sec^{2} (2 x + 3) \cdot 2

Solution steps

\frac{d}{d x} (tan (2 x + 3))

Apply the chain rule:

sec^{2} (2 x + 3) \frac{d}{d x} (2 x + 3)

= sec^{2} (2 x + 3) \frac{d}{d x} (2 x + 3)

\frac{d}{d x} (2 x + 3) = 2

= sec^{2} (2 x + 3) \cdot 2

What is the derivative of tan(2x+3) ?
The derivative of tan(2x+3) is sec^2(2x+3)*2
What is the first derivative of tan(2x+3) ?
The first derivative of tan(2x+3) is sec^2(2x+3)*2