Question

If ln(3 sin x – 4 cos x + 7 + 5y) = (sin x)y then find y'(pi)

Answer 1

Answer:

The correct answer of this question is $\frac{dy}{dx} = \frac{3cosx - 4sinx - x}{5y}$

Step-by-step explanation:

Given - ln(3 sin x – 4 cos x + 7 + 5y) = (sin x)y

To Find -  Find  y'(pi)

An integral is a mathematical concept that describes how infinitesimal data may result in displacement, area, volume, and other concepts. Integral location is the process of integration.

Now, according to the question -

∫$3sinx - 4cos + 7 + 5y dx$

∫ $-3cosx - 4sinx + x + 5y$ × $\frac{dy}{dx} dx$

$-$∫$3cosx + 4sinx + x +5y$ ×$\frac{dy}{dx} dx$

$- 3cosx + 4sinx + x + 5y$ × $\frac{dy}{dx}$

$\frac{dy}{dx} = \frac{3cosx - 4sinx - x}{5y}$

So, the value of  y'(pi) is $\frac{dy}{dx} = \frac{3cosx - 4sinx - x}{5y}$

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