Explanations 
Textbooks 
Flashcards 
91影视 AI 
Notes 
Study Plans 
Study Sets 
Find a degree 
Magazine Problem 61
For the following exercises, use the definition of a derivative to find \(f^{\prime}(x)\) . $$f(x)=\frac{9}{x}$$
Problem 62
Use the definition of a derivative to find \(f^{\prime}(x)\). $$ f(x)=x+\frac{1}{x} $$
Problem 62
For the following exercises, use the definition of a derivative to find \(f^{\prime}(x)\) . $$f(x)=x+\frac{1}{x}$$
Problem 63
Use the definition of a derivative to find \(f^{\prime}(x)\). $$ f(x)=\frac{1}{\sqrt{x}} $$
Problem 63
For the following exercises, use the definition of a derivative to find \(f^{\prime}(x)\) . $$f(x)=\frac{1}{\sqrt{x}}$$
Problem 68
For the following exercises, the given limit represents the derivative of a function \(y=f(x)\) at \(x=a .\) Find \(f(x)\) and \(a .\) $$\lim _{h \rightarrow 0} \frac{(1+h)^{2 / 3}-1}{h}$$
Problem 68
The given limit represents the derivative of a function \(y=f(x)\) at \(x=a\). Find \(f(x)\) and \(a\). $$ \lim _{h \rightarrow 0} \frac{(1+h)^{2 / 3}-1}{h} $$
Problem 69
For the following exercises, the given limit represents the derivative of a function \(y=f(x)\) at \(x=a .\) Find \(f(x)\) and \(a .\) $$\lim _{h \rightarrow 0} \frac{\left[3(2+h)^{2}+2\right]-14}{h}$$
Problem 69
The given limit represents the derivative of a function \(y=f(x)\) at \(x=a\). Find \(f(x)\) and \(a\). $$ \lim _{h \rightarrow 0} \frac{\left[3(2+h)^{2}+2\right]-14}{h} $$
Problem 70
The given limit represents the derivative of a function \(y=f(x)\) at \(x=a\). Find \(f(x)\) and \(a\). $$ \lim _{h \rightarrow 0} \frac{\cos (\pi+h)+1}{h} $$
