Question

Como resolver essa derivada usando regra da cadeia

_3t²___
√T²+2T-1

Answer 1

Resposta:

Explicação passo-a-passo:

$f(x)= \frac{3t^2}{\sqrt{t^2+2t-1}}$ = $f(x)=\frac{3t^2}{(t^2+2t-1)^{\frac{1}{2}}}\\=\\\\f(x)= 3t^2*(t^2+2t-1)^{\frac{-1}{2}}\\f'(x)= 6t*(t^2+2t-1)^{\frac{-1}{2}} +3t^2*(-\frac{1}{2}(t^2+2t-1)^\frac{-3}{2}}*(2t+2)\\\\f'(x)= 6t*(t^2+2t-1)^{\frac{-1}{2}}-\frac{3t^2}{2}*(2t+2)*(t^2+2t-1)^{\frac{-3}{2}}$