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The distance between the origin and the ...

The distance between the origin and the normal to the curve `y=e^(2x)+x^2` at the point x = 0

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CENGAGE PUBLICATION-APPLICATION OF DERIVATIVES-All Questions
  1. Let fa n dg be differentiable on [0,1] such that f(0)=2,g(0)=0,f(1)=6 ...

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  2. Find the shortest distance of the point (0, c) from the parabola y=...

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  3. The distance between the origin and the normal to the curve y=e^(2x)+x...

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  4. Let f(x)={-x^2,for x<0; x^2+8,for xgeq0 Find x intercept of the common...

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  5. The curve y=a x^3+b x^2+c x+5 touches the x-axis at P(-2,0) and cuts t...

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  6. If the function f:[0,4]->R is differentiable, the show that for a , b ...

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  7. The slope of the tangent to the curve y=sqrt(4-x^2) at the point where...

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  8. If at each point of the curve y=x^3-a x^2+x+1, the tangent is inclined...

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  9. If the line joining the points (0,3) and (5,-2) is a tangent to the c...

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  10. The curve given by x+y=e^(x y) has a tangent parallel to the y-axis at...

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  11. The number of tangents to the curve x^(3/2)+y^(3/2)=2a^(3/2),a >0, whi...

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  12. Show that the square roots of two successive natural numbers greater ...

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  13. If m is the slope of a tangent to the curve e^y=1+x^2, then (a)|m|>1 ...

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  14. The angle made by the tangent of the curve x = a (t + sint cost), y = ...

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  15. If f(x)=x^alphalogx and f(0)=0, then the value of alpha for which Ro...

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  16. The value of ′c′ in Lagrange's mean value theorem for f(x)=x(x−2)^2 in...

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  17. The point (s) on the curve y^3+3x^2=12y where line tangent is vertical...

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  18. The triangle formed by the tangent to the curve f(x)=x^2+bx-b at the ...

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  19. If the normal to the curve y=f(x) at the point (3,4) makes an angle (3...

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  20. The slope of the tangent to a curve y=f(x) at (x,f(x)) is 2x+1. If the...

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