Business Calculus
d2dx2(ln(3x2+2))=−6(3x2+2)(3x2+2)2\frac{d^2}{dx^2}\left(\ln\left(3x^2+2\right)\right)=-\frac{6\left(3x^2+2\right)}{\left(3x^2+2\right)^2}
d2dx2(ln(3x2+2))=−6(3x2−2)(3x2+2)2\frac{d^2}{dx^2}\left(\ln\left(3x^2+2\right)\right)=-\frac{6\left(3x^2-2\right)}{\left(3x^2+2\right)^2}
d2dx2(ln(3x2+2))=6x(3x2+2)2\frac{d^2}{dx^2}\left(\ln\left(3x^2+2\right)\right)=\frac{6x}{\left(3x^2+2\right)^2}
d2dx2(ln(3x2+2))=−12x3x2+2\frac{d^2}{dx^2}\left(\ln\left(3x^2+2\right)\right)=-\frac{12x}{3x^2+2}