Application of Derivatives
The volume of a cube is increasing at the rate of 8cm3/s. How fast is the surface area increasing when the length of an edge is 12 cm?
Connecting you to a tutor in 60 seconds.
Get answers to your doubts.
If the tangent at any point (4m2,8m2)
is a normal to the curve x3−y2=0
, then find the value of m˙
Find the equations of the normal to the curve y=x3+2x+6
which are parallel to the line x+14y+4=0.
Find the total number of parallel tangents of f1(x)=x2−x+1andf2(x)=x3−x2−2x+1.
be two functions which are defined and differentiable for all x≥x0˙
for all x>x0,
then prove that f(x)>g(x)
for all x>x0˙
Find the possible values of p
such that the equation px2=(log)ex
has exactly one solution.
In the curve xayb=Ka+b
, prove that the potion of the tangent intercepted between the coordinate axes is divided at its points of contact into segments which are in a constant ratio. (All the constants being positive).
Find the condition if the equation 3x2+4ax+b=0
has at least one root in (0,1)˙
If the slope of line through the origin which is tangent to the curve y=x3+x+16
then the value of m−4