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Find the derivatives of the given functions.$$y=3 \tan (3 x+2)$$

$\frac{d y}{d x}=9 \sec ^{2}(3 x+2)$

Calculus 1 / AB

Chapter 27

Differentiation of Transcendental Functions

Section 2

Derivatives of the Other Trigonometric Functions

Derivatives

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we want to find dy dx the derivative of Y with respect to X. For the function. Why is equal to three times the tangent of three X plus two? We're going to rely on derivative shortcuts to solve this problem that we picked up throughout our journey and single variable calculus we're going to use in particular our newfound trigonometry derivatives, solve so relevant ruler. Listen here trick voters are DDX in Mexico's Cossacks, DDX Cossacks negative Sine X, D X. T and N X equals Seacon square. DDX, co tianjin axial, negative square and so on. We also know that general product rule and so on. So why is already written in the form that's most easily differentiable. Thus we can proceed now to the derivative. So dy dx is three C can't square three X plus two. This is by the derivative tangent. We multiply this by three plus zero derivative of three X plus two via the channel. Thus our final solution for this problem is Dy dx is equal to nine times he can't square three X plus two as is highlighted at the bottom. Mhm

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