Application of Derivatives
The line y=x+1 is a tangent to the curve y2=4x at the point.
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Find the values of a
is increasing for all values of x˙
If the slope of line through the origin which is tangent to the curve y=x3+x+16
then the value of m−4
be a curve defined by y=ea+bx2˙
The curve C
passes through the point P(1,1)
and the slope of the tangent at P
Then the value of 2a−3b
be a continuous and differentiable function. Then show that
For the curve y=f(x) prove that (lenght n or mal)^2/(lenght or tanght)^2
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 locus of point on the curve y2=4a(x+as∈ax)
where tangents are parallel to the axis of x˙
radians, then find the approximate value of cos6001prime˙