Class 12

Math

Calculus

Application of Derivatives

Rectangles are inscribed inside a semi-circle of radius $r˙$ Find the rectangle with maximum area.

Connecting you to a tutor in 60 seconds.

Get answers to your doubts.

Let $y=f(x)$ be drawn with $f(0)=2$ and for each real number $a$ the line tangent to $y=f(x)$ at $(a,f(a))$ has x-intercept $(a−2)$. If $f(x)$ is of the form of $ke_{px}$ then$pk $ has the value equal to

Find the approximate value of $f(3.02),$ where $f(x)=3x_{2}+5x+3.$

Discuss the extremum of $f(x)=x(x_{2}−4)_{−31}$

Find the value of $a$ if $x_{3}−3x+a=0$ has three distinct real roots.

The two curves $x_{3}−3xy_{2}+2=0$ and $3x_{2}y−y_{3}−2=0$

If the curve $y=ax_{2}−6x+b$ pass through $(0,2)$ and has its tangent parallel to the x-axis at $x=23 ,$ then find the values of $aandb˙$

Show that the straight line $xcosα+ysinα=p$ touches the curve $xy=a_{2},$ if $p_{2}=4a_{2}cosαsinα˙$

Find the locus of point on the curve $y_{2}=4a(x+as∈ax )$ where tangents are parallel to the axis of $x˙$