Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

$\underset{h\to 0}{lim}\frac{\sqrt{9}+h-3}{h}$

burkinaval1b
2021-12-13
Answered

Each limit represents the derivative of some function f at some number a. State such an f and a in each case.

$\underset{h\to 0}{lim}\frac{\sqrt{9}+h-3}{h}$

You can still ask an expert for help

asked 2022-04-09

How do you use the limit definition to find the derivative of y=-3x-3?

asked 2022-04-17

How do you find average value of function $h\left(r\right)=\frac{3}{{(1+r)}^{2}}$ on given interval [1, 6]?

asked 2021-05-25

Find the derivatives of the following function with respect to x and simplify the result.

$y=\mathrm{cos}h\left(\mathrm{log}x\right)$

asked 2022-02-11

How do you find the equation of the line tangent to the graph of $f\left(x\right)=\frac{10}{5x+9}$ , when x =1/5?

asked 2021-09-28

Using the definition, calculate the derivatives of the functions. Then find the values of the derivatives as specified.

$k\left(z\right)=\frac{1-z}{2z};{k}^{\prime}(-1),{k}^{\prime}\left(1\right),{k}^{\prime}\left(\sqrt{2}\right)$

asked 2022-03-14

What is the instantaneous rate of change of $f\left(x\right)=7{x}^{3}-8{x}^{2}+9x$ at x=2?

asked 2022-04-11

How do you use the limit definition of the derivative to find the derivative of $f\left(x\right)=2{x}^{2}-3x+6$ ?