The required values are,
\(g(A-h)=6.87\)
\(g(A+h)=7.13\)
Concave up and Concave down:
What Do “Concave Up” and “Concave Down” Mean? Concave up (also called convex) or concave down are descriptions for a graph, or part of a graph: A concave up graph looks roughly like the letter U; A concave down graph is shaped like an upside-down U. They tell us something about the shape of a graph, or more specifically, how it bends.
Given that,
\(g\left( A \right)=7, \ g'\left( A \right)=13\)
\(h=0.01\)
\(g'\left( A \right)\approx \frac{g\left( A-h \right)-g\left( A \right)}{h}\\\Rightarrow g\left( A \right)-g\left( A-h \right)\approx hg'\left( A \right)\\=7-(0.01)(13)\\=6.87\)
we use the formula,
\(g'\left( A \right)\approx \frac{g\left( A+h \right)-g\left( A \right)}{h}\\\Rightarrow g\left( A+h \right)\approx hg'\left( A \right)+g\left( A \right)\\=(0.01)(13)+7\\=7.13\)
Learn more about the topic concave up and concave:
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