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If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, t...

If `|f(x_2)-f(x_1)|le(x_2-x_1)^2AAx_1,x_2inR,` then the equation of tangent to the curve y = f(x) at the point (1,2) is

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Find a point on the curve x^2+2y^2=6 whose distanced from the line x+y...

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  2. Prove that for any two numbers x1 and x2.(2e^(x1)+e^(x2))/3gte^((2(x1)...

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  3. If |f(x2)-f(x1)|le(x2-x1)^2AAx1,x2inR, then the equation of tangent to...

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  4. If y = f(x) = (x+2)/(x-1) then

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  5. A wire of length 2 units is cut into two parts which are bent respecti...

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  6. Consider f(x)=tan^-1(sqrt((1+sinx)/(1-sinx)),x in(0,pi/2). A normal to...

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  7. The line y=x+lambda is tangent to the ellips 2x^2+3y^2=1 Then lambda i...

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  8. The time T of of oscillation of a simple pendulum of length l is given...

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  9. The points of the ellips 16x^2+9y^2=400 at which the ordinate decrease...

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  10. If f(x) is a function such that f'(x)=(x-1)^2 (4-x), then

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  11. A cylindrical container is to be made from certain solid material whic...

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  12. If the normals of the parabola y^2=4x drawn at the end points of its l...

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  13. If y = a + bx and Mo is the mode of x, then show that the mode of y mu...

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  14. Consider the hyperbola H:x^2-y^2=1 and a circile S with center N(x2,0...

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  15. The length of the latus rectum of the ellipse 2x^2+4y^2=16 is

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  16. The normal to the curve x^2+2xy-3y^2=0 at (1,1) :

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  17. For all real values of a0.a1,a2,a3 satisfying a0x+a1x^2/2+a2x^3/3+a3x^...

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  18. A particle starts moving from rest from a fixed point in a fixed direc...

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  19. The least value of 2x^2+y^2+2xy+2x-3y+8 for realnumbers x and y is

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  20. The minimum value of costheta+sintheta+2/(sin2theta) for theta in (0,p...

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