Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Find the least value of k for which the function x^2+k x+1 is an inc...
Text Solution
|
- At the point P(a , a^n) on the graph of y=x^n ,(n in N), in the first...
Text Solution
|
- If f:[0,oo]toR is the function defined by f(x)=(e^(x^2)-e^(-x^2))/(e^(...
Text Solution
|
- Find the coordinates of a point the parabola y^(2)=8x whose distance f...
Text Solution
|
- Test whether the following functions are increasing or decreasing : f(...
Text Solution
|
- The radius of a right circular cylinder increases at the rate of 0.1 c...
Text Solution
|
- Suppose that f is differentiable for all x and that f^(prime)(x)lt=2 f...
Text Solution
|
- Prove that the function are increasing for the given intervals: f(x)=e...
Text Solution
|
- The tangent to the curve y=e^(k x) at a point (0,1) meets the x-axis a...
Text Solution
|
- A cube of ice melts without changing its shape at the uniform rate o...
Text Solution
|
- Using Rolles theorem, prove that there is at least one root in (45^(1/...
Text Solution
|
- If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, then the equation of tangent to...
Text Solution
|
- If f(x) is a twice differentiable function such that f(a)=0, f(b)=2, f...
Text Solution
|
- A function y=f(x) has a second-order derivative f''(x)=6(x-1)dot It it...
Text Solution
|
- If x+4y=14 is a normal to the curve y^2=ax^3 -betaat (2,3) then value ...
Text Solution
|
- In the curve represented parametrically by the equations x=2logcott+1 ...
Text Solution
|
- The abscissas of point Pa n dQ on the curve y=e^x+e^(-x) such that tan...
Text Solution
|
- The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...
Text Solution
|
- At what point of curve y=2/3x^3+1/2x^2, the tangent makes equal angle ...
Text Solution
|
- The equation of the tangent to the curve y=b e^(-x//a) at the point wh...
Text Solution
|