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Question

Find the second derivative of the function f(x)=ln⁡(3x2+2)f\left(x\right)=\ln\$$left(3x^2+2$$\right).

Accepted Answer

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$$\$$right)^2$$}

Answer

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$$\$$right)^2$$}

Answer

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$$}

Answer

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

Find the second derivative of the function f(x)=ln(3x2+2)f\(\left\)(x\(\right\))=\(\ln\]\left\)(3x^2+2\(\right\)).

Find the second derivative of the function $f (x) = \ln (3 x^{2} + 2)$ .