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Find the value of a, If f(x) = a |sin x...

Find the value of a, If `f(x) = a |sin x | + 2x ` is differentiable at x = 0

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The correct Answer is:
`a * 1 = - a * 1 ` or, `2a = 0 ` or, ` a = 0 `
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CHHAYA PUBLICATION-DIFFERENTIATION-Example
  1. Find (dy)/(dx) , when y = sqrt(x) log x* 10^(x)

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  2. Find (dy)/(dx) y= sqrt(x) sec x tan x

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  3. If f(x+y) = f(x) * f(y) for all real x and y and f(5)=2,f'(0) = 3 ,...

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  4. If f (a) = 2 , f'(a) = 1, g (a) = -1 and g'(a) = 2 , show tha...

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  5. Find the derivatives of the following functions w.r.t. x : y = (si...

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  6. Find the derivatives of the following functions w.r.t.x : y=(x^...

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  7. Find the derivatives of the following functions w.r.t.x : (cot x + ...

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  8. Find the derivatives of the following functions w.r.t.x : (x sin ...

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  9. If h(x) = [ f (x) ] ^(2) + [ g (x) ] ^(2) and (x) = g (x), f''(x)...

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  10. If y = 2 x^(3)- 15 x^(2) + 36 x + 8 , slove the equation (dy)/(dx)=...

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  11. If y = sqrt(3x)-sqrt(3/(x))+(x + 6) /(6 - x ) find the value of ((d...

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  12. If y = (x - 2 )/ (x + 2) , show that 2x * (dy)/(dx) = 1 - y^(2) .

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  13. If f(x) = (6-4x)/(1+2x+2x^(2)) find f'(x) . Also find the value of...

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  14. If y = x + (x^(3))/(3)+(x^(5))/(5)+* * * show that (dy)/(dx) = (1...

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  15. Find the value of a, If f(x) = a |sin x | + 2x is differentiable ...

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  16. Find the value of (d)/(dx)[(cos (x - alpha))/(sin x )] .

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  17. If y = 1 + x + (x^(2))/(2!)+(x^(3))/(3!)+(x^(4))/(4!)+* * * +(x^(n))...

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  18. If y = sqrt(x/(m))+sqrt(m/(x)) show that 2xy (dy)/(dx) = (x)/(m) - ...

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  19. If x in (0, (pi)/(2))cup((pi)/(2),pi) and y = sqrt((1 + cos 2 x )...

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  20. If f(x) = |x|+|x - 1| then find f'(x),

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