Question

Ify=tan(4x+1).Determine dy/dx.

sec^x
4sec^2(4x+1)
tan(4x+1)
sec^2(4x)

Answer 1

Answer on Question 47036, Math, Differential Calculus — Equations If $y = \tan(4x + 1)$. Determine dy/dx.

$$\begin{array}{l} \mathrm{sec}^x \\ 4 \mathrm{sec}^2(4x + 1) \\ \tan(4x + 1) \\ \mathrm{sec}^2(4x) \\ \end{array}$$

Solution

$$\frac{d(\tan(4x + 1))}{dx} = 4(1 + \tan^2(4x + 1)) = 4 \mathrm{sec}^2(4x + 1)$$

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