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The slope of the tangent to the curve (y...

The slope of the tangent to the curve `(y-x^5)^2=x(1+x^2)^2` at the point (1,3) is

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PATHFINDER-APPLICATION OF DERIVATIVE-QUESTION BANK
  1. Let f:(0,oo)rarrRR be given by f(x)=oversetxunderset(1/x)inte^((t+1/...

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  2. Let a inRR and R and let f:RRrarrRR be given by f(x)=x^5-5x+a Then

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  3. The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the poin...

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  4. If f(x) and g(x) are differentiable functions for 0lexle1 such that f(...

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  5. If x=-1 and x=2 are extreme points of f(x)=alphalog|x|+beta|x|^2+x the...

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  6. For every real number x, f(x)=x/(1!)+3/(2!)x^2+7/(3!)x^3+15/(4!)x^4+...

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  7. Let f(x) be a differentiable function in [2,7]. If f(2) = 3 and f'(x)l...

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  8. Suppose that the equation f(x)=x^2+bx+c has two distinct real roots al...

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  9. Let f(x)=inte^x(x-1)(x-2)dx, then f(x) decreases in the interval

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  10. Let R be the set of all real numbers and f:[1,-1]rarrR be defined by ...

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  11. Suppose that f(x) is a differentiable function such that f'(x) is cont...

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  12. Applying Lagrange's Mean Value Theorem for a suitable function f(x) in...

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  13. The angle of intersection between the curves y=[|sinx|+|cosx|]andx^2+y...

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  14. The number of points in (-oo,oo) for which x^2-xsinx-cosx=0 is

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  15. If f(x)=|x|+|x-1|+|x-2|, then

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  16. Let f(x)=xsinpix,xgt0 .Then for all natural number n, f'(x) vanishes a...

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  17. The intercepts on x-axis made by tangents to the curve, oversetxunders...

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  18. The real number k of for which the equation 2x^3+3x+k=0 has two distin...

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  19. If y=sec(tan^(-1)x), then value of dy/dx at x=1 is

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  20. If f(x)=e^x(x-2)^2 then

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