Question

Find the derivatives w.r.t.x:
(7x + 3) tan x

Answer 1

here is the answer ✌️✌️✌️✌️✌️

Answer 2

Solution:

$(7x + 3)tan \: x \\ \\ => 7x \: tan \: x + 3 \: tan \: x \\ \\ \frac{d}{dx}(7x \: tan \: x + 3 \: tan \: x) \\ \\ = \frac{d}{dx}(7x \: tan \: x) + \frac{d}{dx}(3\: tan \: x) \\ \\ \frac{d}{dx}(3\: tan \: x) = 3 {sec}^{2} x \\ \\ \frac{d}{dx}(7x \: tan \: x) = 7x \frac{d}{dx}(\: tan \: x) + 7 \: tan \: x \: \frac{dx}{dx} \\ \\ = 7x \: {sec}^{2} x + 7 \: tan \: x \\ \\ \frac{d}{dx} (7x + 3)tan \: x \\ \\ = 7x \: {sec}^{2} x + 7 \: tan \: x + 3 {sec}^{2} x$

Hope it helps you.