# Find dydxify=(x+1)2 - Mathematics and Statistics

Sum

Find dy/dx if y=(sqrtx+1)^2

#### Solution

y=(sqrtx+1)^2

∴ y = x + 2 sqrtx + 1
Differentiating w.r.t. x, we get

dy/dx=d/dx(x+2sqrtx+1)

=d/dx(x)+2d/dx(sqrtx)+d/dx(1)

= 1+2(1/(2sqrtx))+0

dy/dx=1+1/sqrtx

Concept: Rules of Differentiation (Without Proof)
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#### APPEARS IN

Balbharati Mathematics and Statistics 1 (Commerce) 11th Standard Maharashtra State Board
Chapter 9 Differentiation
Miscellaneous Exercise 9 | Q II. (2) | Page 123