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Find the derivative of y = tan^-1 (x^2...

Find the derivative of `y = tan^-1 (x^2-1)`

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CENGAGE-APPLICATION OF DERIVATIVES-Examples
  1. Displacement s of a particle at time t is expressed as s=1/2t^3-6tdot ...

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  2. If f(x)=2x+3, g(x)=1-2x and h(x) =3x. Prove that fo(goh)=(fog)oh.

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  3. Find the derivative of y = tan^-1 (x^2-1)

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  4. Let x be the length of one of the equal sides of an isosceles triangle...

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  5. A lamp is 50ftdot above the ground. A ball is dropped from the same he...

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  6. If water is poured into an inverted hollow cone whose semi-vertical ...

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  7. A horse runs along a circle with a speed of 20k m//h . A lantern is at...

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  8. The radius of the base of a cone is increasing at the rate of 3 cm/min...

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  9. Find the approximate volume of metal in a hollow spherical shell wh...

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  10. Find approximate value of f (5.001) where f(x) =x^3-7x^2+15 .

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  11. Find the approximate change in the volume V of a cube of side x meters...

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  12. Discuss the applicability of Rolles theorem for the following functi...

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  13. If the function f(x)=x^3-6x^2+a x+b defined on [1,3] satisfies Rolles ...

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  14. How many roots of the equation (x-1)(x-2)(x-3)+(x-1)(x-2)(x-4) +(x-2)(...

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  15. If 2a+3b+6c = 0, then show that the equation a x^2 + bx + c = 0 has at...

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  16. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  17. Let f(x) be differentiable function and g(x) be twice differentiable f...

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  18. If f : [-5, 5] to R is a differentiable function function and if f'(x)...

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  19. Let f be differentiable for all x , If f(1)=-2a n df^(prime)(x)geq2 fo...

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  20. Let f:[2,7]vec[0,oo) be a continuous and differentiable function. Then...

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