Class 12 | Application of Derivative | A particle moves along the curve 3y = ax^3 + 1 such that at a point with x-coordinate 1, y-coordinate is changing twice as fast at x-coordinate l. Find the value of a.

 

Class 12 | Application of Derivative | The minimum distance of a point on the curve y=x^2−4 from the origin is:

 

Class 11 Limit And Derivative Test 20 Mark Bengali Version

 

Find the maximum and minimum values of x+sin2x on [0,2pi] Class 12 Application of Derivative

 

What is the Maximum value of X^1/X class 12 applications of Derivative

 

lx + my =1 straight line touches a curve (ax)^n + (by)^n =1 then prove that (l/a)^n/n-1 + (m/b)^n/n-1 +1 Class 12 Application of Derivative

 

Solve differential equation xdy-ydx=sqrt(x^2+y^2)dx class 12

 

in hyperbola xy =1 what is the slope of tangent at (t, 1/2) Class 12

 

The maximum possible area that can be enclosed by a wire of length 20 cms by bending it into the form of a sector

 

ANS : 25 C㎡

The number 24 is divided into two parts. What is the maximum value of the product of the two parts? Class 12

 

Verify LMVT ( Mean Value Theorem) for the function f(x)=x+ 1/x ,x∈[1,3] and find Value of C Class 12

 

A man run along a straight path at the speed of 4m/s. A searchlight is located on the ground 20m from the path and is kept focused on the man. At what rate is the search light rotating when the man is 15m from the point on the path closest to the searchlight.

 

Same Question solve by Physics Relative motion  Click here 

https://updatewithans.blogspot.com/2021/05/a-man-run-along-straight-path-at-speed_24.html

Show that the cylinder of given volume open at the top has minimum total surface area if its height is equal to radius of the base.