Question

Differentiate f(x) = x3+x2+x-1/x^1/2

Answer 1

Answer:

Let the two prime numbers be 3 and 5.

 

 

Multiples of 3 and 5 are as follows

3   ...  3, 6, 9, 12, 15, 18,....

5   ...  5, 10, 15, 20, ....

 

LCM(3, 5) = 15

 

Since 3 and 5 are prime numbers.

HCF(3, 5) = 1

 

 

LCM(3, 5) ×  HCF(3, 5) = 15 × 1 = 15   ... (ii)

3 × 5 = 15   ...(iii)

From (ii) and (iii), we can say that  

 

The product of any two prime number is equal to the product of their HCF and LCM.

Explanation:

Answer 2

Explanation:

Differentiate f(x) = x3+x2+x-1/x^1/2 =

x3+x2+ x^1/2 - 1/x^1/2

F'(x) = 3x² + 2x + 1/2 × x^-1/2 +1/2 ×1/x^3/2