Question

If x=at^2 and y=bt^2 find dy/dx

Answer 1

here the answer......hope it helps......

Answer 2

Answer: - The value of dy/dx = b/a.

Detailed solution: -

Given: -

x = at² and

y = bt²

We need to find the value of dy/dx.

Therefore,

We will differentiate both the given equations.

By differentiating both the sides we will get,

$\frac{dx}{dt}= 2at\\ \\\frac{dy}{dt} = 2bt$

Therefore,

$\frac{dy}{dx} = \frac{bt}{at} \\\\\frac{dy}{dx} = \frac{b}{a}$

Therefore,

The value of dy/dx will be = b/a.

About Derivation or differentiation: -

• Differentiation in the term of math is a process that is used in finding the derivative of a function given.
• Different formulas are used in respect of the question provided as it is needed to be solved.

There are some basic rules of the differentiation. They are: -

1. The Power Rule in differentiation - (d/dx) (xn ) = nx{n-1}
2. The Sum Rule in differentiation - (d/dx) (f ± g) = f’ ± g’
3. The Product Rule in differentiation - (d/dx) (fg)= fg’ + gf’
4. The Quotient Rule in differentiation - (d/dx) (f/g) = [(gf’ – fg’)/g2]

• The general representation of the derivative is in the form of d/dx.
• This type of representation denotes that the differentiation is with the respect to the variable x.

To know more about the topic, visit the below links: -

https://brainly.in/question/1353585

https://brainly.in/question/19899296

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