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RD Chapter 30- Derivatives Ex-30.5 Interview Questions Answers

Question 1 : Differentiate the following functions with respect to x:

Answer 1 :

Let us consider

y =

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = x2 +1 and v = x + 1

 y= u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

Question 2 :

Answer 2 :

Let us consider

y =

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = 2x – 1 and v = x2 +1

 y= u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

Question 3 :

Answer 3 :

Let us consider

y = 

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = x + ex and v= 1 + log x

 y= u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

Question 4 :

Answer 4 :

Let us consider

y =

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = ex – tanx and v = cot x – xn

 y= u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get

Question 5 :

Answer 5 :

Let us consider

y =

We need to find dy/dx

We know that y is a fraction of two functions say u and v where,

u = ax2 + bx +c and v = px2 + qx + r

 y= u/v

Now let us apply quotient rule of differentiation.

By using quotient rule, we get


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RD Chapter 30- Derivatives Ex-30.5 Contributors

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