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If y = sec x + tan x , then prove that d...

If `y = sec x + tan x `, then prove that `dy/dx = 1/(1-sinx)`

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PRADEEP PUBLICATION-CONTINUITY AND DIFFERENTIABILITY-EXERCISE
  1. If f(x) = |sin x - cosx|, find f' (pi//6)

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  2. If f(x) = |sinx| + | cos x|, find f'((3pi)/(4))

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  3. If y = sec x + tan x , then prove that dy/dx = 1/(1-sinx)

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  4. Can Rolle's Theorem be applied to the function f(x) = |x| in the inter...

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  5. Does there exist a point c(in)(0,pi/2) such that f' (c)= 0 where f(x) ...

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  6. Can Lagrange's Theorem be applied to the function f(x) = sqrt(1-x^2) i...

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  7. Is Lagrange's Theorem applicable to the function f(x) = |x| on the int...

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  8. Can we find a point c^(in) (-pi/2,pi/2) such that f'© = 0 where f(x) =...

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  9. Find a point c^(in) (-1,2) such that f'© = (f(2) - f(-1))/(2-(-1) wher...

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  10. At what point on the curve y = (cos x -1) in [0,2pi], is the tangent p...

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  11. Prove that the function f(x) = 5x-3, is contNuous at x=0, at x=-3 a...

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  12. Examine the continuity of the function f(x) = 2x^2 - 1 at x=3

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  13. Examine the following functions for continuity. f(x) = x-5

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  14. Examine the following function for continuity: f(x) = 1/(x-5), x ne 5

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  15. Examine the following function for continuity: f(x) = (x^2 -25)/(x+5),...

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  16. Examine the following function for continuity: f(x) = |x-5|

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  17. Prove that the function f(x) = x^n, is continuous at x=n, where n is a...

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  18. Is the function f defined by f(x)={(x,,,,if x le 1),(5,,,,if x>1):} co...

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  19. Find all the points of discontinuity of f, where f is defined by f(x...

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  20. Find all points of discontinuity of f, where f is defined by : f(x)={(...

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