y+(x^6-2x^2-3x^5-4x-6-2x^4+-3)/((x^2+1)^(1/2)) −6 −5 −4 −3 −2 −1 0 1 2 3 4 5 6 −3 -2.5 −2 -1.5 −1 -0.5 0 0.5 1 1.5 2 2.5 3 x y
Exercícioy = ( x + 1 ) 2 ( 2 x 4 + 3 ) ( x 2 + 1 ) y=\frac{\left(x+1\right)^2\left(2x^4+3\right)}{\sqrt{\left(x^2+1\right)}} y = ( x 2 + 1 ) ( x + 1 ) 2 ( 2 x 4 + 3 )
Solução explicada passo a passo
Passos
1
Expanda a expressão ( x + 1 ) 2 \left(x+1\right)^2 ( x + 1 ) 2 ( a + b ) 2 = a 2 + 2 a b + b 2 (a+b)^2=a^2+2ab+b^2 ( a + b ) 2 = a 2 + 2 ab + b 2
y = ( x 2 + 2 x + 1 ) ( 2 x 4 + 3 ) x 2 + 1 y=\frac{\left(x^{2}+2x+1\right)\left(2x^4+3\right)}{\sqrt{x^2+1}} y = x 2 + 1 ( x 2 + 2 x + 1 ) ( 2 x 4 + 3 )
Explique melhor esta etapa
Resposta final para o problema y = ( x 2 + 2 x + 1 ) ( 2 x 4 + 3 ) x 2 + 1 y=\frac{\left(x^{2}+2x+1\right)\left(2x^4+3\right)}{\sqrt{x^2+1}} y = x 2 + 1 ( x 2 + 2 x + 1 ) ( 2 x 4 + 3 )
