find the derivative of x+square root of x

Question

basiclly i need to find the derivative of x+the square root of x but I'm having issues with the algrebra process.

Answer 1

x+square root of x                    sqrtx = x^( 1/2)

df/dx = d( x + sqrtX)/dx =d(  x + x^(1/2))/dx

                                                                                   1

= 1 + 1/2*x^( 1/2 - 1) = 1 + 1/2*x^( -1/2) = 1 + ------------------ =

                                                                            2x^(1/2)     

          = 1 + 1/( 2sqrtx )

Comments

Thank you this helped out a lot but i just was not used to the notation df/dx my teacher has not taught us this notation.

Answer 2

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Answer 3

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