Home
Class 11
PHYSICS
Given, y=(ax+b)^(2) , evaluate (dy)/(dx...

Given, `y=(ax+b)^(2)` , evaluate ` (dy)/(dx)`.

Text Solution

AI Generated Solution

To find \(\frac{dy}{dx}\) for the given function \(y = (ax + b)^2\), we can use two methods: the chain rule or by expanding the expression and then differentiating. Let's go through both methods step by step. ### Method 1: Using the Chain Rule 1. **Identify the inner function and the outer function:** - Inner function: \(u = ax + b\) - Outer function: \(y = u^2\) ...
Promotional Banner

Topper's Solved these Questions

  • BASIC MATHEMATICS

    GRB PUBLICATION|Exercise Problems For Practice|35 Videos

  • FORCE AND NEWTONS LAWS OF MOTION

    GRB PUBLICATION|Exercise Comprehension|12 Videos

Similar Questions

Explore conceptually related problems

If y=cos x^(2) , then find (dy)/(dx) .

If y=e^(-x^(2)), then find (dy)/(dx) .

Given , y=ln(ax+b), then find (dy)/(dx)

if y=log sec(ax+b)^(3) then find the value of (dy)/(dx)

xy=(x+y)^(2) then find (dy)/(dx)

Given that y=(x^(2)+1)/(x-2) , find (dy)/(dx)

y=(1)/(x^(2)) , find (dy)/(dx)

Can y=ax+(b)/(a) be the solution of x(dy)/(dx)+(b)/((dy)/(dx)) If no,find the solution of DE

If y = ((ax + b)/(cx + d)), "then" 2 (dy)/(dx).(d^(3) y)/(dx^(3)) is equal to

If y=sqrt(x^(2)+ax+1), then (dy)/(dx)