Question

Solution

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SIMILAR QUESTIONS

Q1

Find the natural number a for which  where the function f satisfies the relation f (x + y) = f (xf (y) for all natural number xy and further f (1) 2.

Q2

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

Q3

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

Q4

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

Q5

Differentiate ax wrt x from first principles.

Q6

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

Q8

 

Find dy/dx for the functions. 

          

Q9

 

Find the expression for dy/dx for the following implicit function. 

          x3 + y3 – 3xy = 1.

Q10

 

Find dy/dx if