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SIMILAR QUESTIONS

Q1

 

Let f is a differentiable function such that   

     .

Q2

 

Let f be a function such that  .   

.

Q3

 

ind and b so that the function:    

                   

 

Q4

 is continuous at x = 0, find the values of Aand B. Also find f (0).

Q5

Determine the form of g(x) = f (f (x)) where f (x and hence find the point of iscontinuity of g, if any.

Q6

Find the derivative of y = log x wrt x from first principles.

Q7

Evaluate the derivative of f (x) = xn wrt x from definition of derivative. Hence find the derivative of wrt x.

Q8

Find the derivative of sin x wrt x from first principles.

Q9

Differentiate ax wrt x from first principles.

Q10

Differentiate sin (log x) wrt x from first principles.