To find the derivative of $g(x)=2 x^{2}+5 x-9$
at x = 8 algebraically, you evaluate the following expression.
A) $\lim _{h \rightarrow 0} \frac{2(8+h)^{2}-5(8+h)-9-\left(2 \cdot 8^{2}+5 \cdot 8-9\right)}{h}$

B) $\frac{g(8+1)+g(8)}{h}$

C) $\lim _{h \rightarrow \infty} \frac{g(h)-g(8)}{h}$

D)All of the above are correct.
E)None of the above is correct.

Question

To find the derivative of $g(x)=2 x^{2}+5 x-9$
 at x = 8 algebraically, you evaluate the following expression.
A) $\lim _{h \rightarrow 0} \frac{2(8+h)^{2}-5(8+h)-9-\left(2 \cdot 8^{2}+5 \cdot 8-9\right)}{h}$

B) $\frac{g(8+1)+g(8)}{h}$

C) $\lim _{h \rightarrow \infty} \frac{g(h)-g(8)}{h}$

D)All of the above are correct.
E)None of the above is correct.

Quizplus · Accepted Answer

The correct expression for finding the derivative of $g(x)=2x^2+5x-9$ at $x=8$ algebraically involves using the definition of the derivative, which is $\lim _{h \rightarrow 0} \frac{g(x+h)-g(x)}{h}$. Choice A correctly applies this definition to the given function $g(x)$ at $x=8$.

To Find the Derivative Of g(x)=2x2+5x−9g(x)=2 x^{2}+5 x-9g(x)=2x2+5x−9 At X = 8 Algebraically, You Evaluate the Following Expression

To Find the Derivative Of $g(x)=2 x^{2}+5 x-9$ At X = 8 Algebraically, You Evaluate the Following Expression