Question

If y=cosec x then dy/dx=​

Answer 1

Answer:

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Step-by-step explanation:

ANSWER ::

y=cosec x then dy/dx= - Cosec x cot x

Answer 2

Concept introduction:

The derivative is the amount of change of a function with reference to a factor in mathematics. Calculus and differential dynamics issues require the use of derivatives to be solved.

Given:

Here it is given that term is $y=cosec x$.

To find:

We have to to find the $dy/dx$ form of the equation.

Solution:

According to the question,

By applying chain rule,

$\begin{array}{l}\frac{dy}{dx}\end{array}$

$=f^{'}(g(x))*g^{'} \\ y = cosec x = 1/sin x = (sin x)^{-1} \\- > \begin{array}{l}\frac{dy}{dx}= -(sin\,x)^{-2}\times \frac{d}{dx}\left ( sin\,x \right )\end{array}\\- > \begin{array}{l}\frac{dy}{dx}= -\frac{cos\,x}{sin\,x}\times \frac{1}{sin\,x}\end{array}\\- > \begin{array}{l}\frac{dy}{dx}= -cot\, x \, cosec\, x\end{array}$

Final answer:

So, the final answer of the question is $\begin{array}{l}\frac{dy}{dx}= -cot\, x \, cosec\, x\end{array}$.

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