Topper's Solved these Questions
Similar Questions
Explore conceptually related problems
CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
- Find the cosine of the angle of intersection of curves f(x)=2^x(log)e ...
Text Solution
|
- Find the value of a if the curves (x^2)/(a^2)+(y^2)/4=1a n dy^3=16 x c...
Text Solution
|
- The acute angle between the curves y= |x^2 -1| and y=|x^2- 3| at their...
Text Solution
|
- In the curve x^(m+n)=a^(m-n)y^(2n) , prove that the m t h power of the...
Text Solution
|
- Find the length of the tangent for the curve y=x^3+3x^2+4x-1 at point ...
Text Solution
|
- For the curve y=a1n(x^2-a^2) , show that the sum of length of tangent ...
Text Solution
|
- For the curve y=f(x) prove that (length of normal)^2/(length of tange...
Text Solution
|
- Find the condition if the equation 3x^2+4a x+b=0 has at least one root...
Text Solution
|
- Find 'c' of the Lagrange's mean value theorem for the function f(x)=3x...
Text Solution
|
- Let 0ltaltbltpi/2. \ If \ f(x)=|[tanx,tana,tanb],[sinx,sina,sinb],[cos...
Text Solution
|
- Let f(x)a n dg(x) be differentiable for 0lt=xlt=2 such that f(0)=2,g(0...
Text Solution
|
- Prove that if 2a0^2lt15a all roots of x^5-a0x^4+3ax^3+bx^2+cx+d=0 can...
Text Solution
|
- If f(x) is continuous in [a , b] and differentiable in (a,b), then pro...
Text Solution
|
- Prove that |tan^(-1)x-tan^(-1)y|lt=|x-y|AAx , y in Rdot
Text Solution
|
- Using Lagranges mean value theorem, prove that (b-a)/bltlog(b/a)lt(b-a...
Text Solution
|
- If a > b >0, with the aid of Lagranges mean value theorem, prov...
Text Solution
|
- Let f(x)a n dg(x) be two functions which are defined and differentiabl...
Text Solution
|
- If the tangent to the curve x y+a x+b y=0 at (1,1) is inclined at an a...
Text Solution
|
- Find the condition that the line A x+B y=1 may be normal to the curve ...
Text Solution
|
- Prove that the curve (x/a)^n+(y/b)^n=2 touches the straught line x/a+y...
Text Solution
|