given-the-function-gx18x2gleftxrightfrac18x2-find-gxgprimeleftxright-using-the-l

Question

Given the function g(x)=18x2g\left(x\right)=\frac{18}{$$x^2$$}, find g′$$(x)g^{\prime}$$\left(x\right) using the limit definition of the derivative. Then, calculate the value of g′$$(5)g^{\prime}$$\left(5\right).

Accepted Answer

﻿g′(x)=−$$36x3g^{\prime}(x$$)=-\frac{36}{$$x^3$$}g′(x)=−x336​﻿﻿g′(5)=−$$36125g^{\prime}(5$$)=-\frac{36}{125}g′(5)=−12536​﻿

Answer

﻿g′(x)=−$$36x3g^{\prime}(x$$)=-\frac{36}{$$x^3$$}g′(x)=−x336​﻿g′(5)=−$$36225g^{\prime}(5$$)=-\frac{36}{225}

Answer

g′(x)=$$36x2g^{\prime}(x$$)=\frac{36}{$$x^2$$}g′(5)=$$3625g^{\prime}(5$$)=\frac{36}{25}

Answer

﻿g′(x)=$$36x2g^{\prime}(x$$)=\frac{36}{$$x^2$$}g′(x)=x236​﻿g′(5)=$$36125g^{\prime}(5$$)=\frac{36}{125}

Given the function g(x)=18x2g\(\left\)(x\(\right\))=\(\frac{18}{x^2}\), find g′(x)g^{\(\prime\)}\(\left\)(x\(\right\)) using the limit definition of the derivative. Then, calculate the value of g′(5)g^{\(\prime\)}\(\left\)(5\(\right\)).

Given the function $g (x) = \frac{18}{x^{2}}$ , find $g^{'} (x)$ using the limit definition of the derivative. Then, calculate the value of $g prime of 5$ .