boolean algebra simplification


boolean algebra simplification

logic discrete mathematics question
show that (p v q) → r ≡ (p → r) ^ (q→ r)

logic discrete mathematics question show that (p v
              q) → r ≡ (p → r) ^ (q→ r)

problem on differentiation of implicit fuction

if sqrt(x) +sqrt(y) = 8 find dy/dx

differentiate the given expression w.r.t.x taking note
that the derivative of
sqrt(y) w.r.t.x is 1/[2sqrt(y)]*{dy/dx}

now solve the resulting equation for {dy/dx}


                                                          of implicit

problem on implicit differentiation 2

implicit differentiation,  if  xy + y^2 =1 , find dy/dx

use product rule to differentiate xy w.r.t.x, note that the derivative of y w.r.t.c is dy/dx

and that of y^2 is 2y( dy/dx) then solve for dy/dx

differentiation of implicit function


other questions and problems:

trigonometric identity and ratio of  certain standard angles

*list of differentiation formula     *integral calculus integration formula
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