Calculus Examples

Use the Limit Definition to Find the Derivative f(x) = square root of 3x-1
Step 1
Consider the limit definition of the derivative.
Step 2
Find the components of the definition.
Tap for more steps...
Step 2.1
Evaluate the function at .
Tap for more steps...
Step 2.1.1
Replace the variable with in the expression.
Step 2.1.2
Simplify the result.
Tap for more steps...
Step 2.1.2.1
Apply the distributive property.
Step 2.1.2.2
The final answer is .
Step 2.2
Find the components of the definition.
Step 3
Plug in the components.
Step 4
Multiply by .
Step 5
Since the values of do not exist on either side of , the limit does not exist.
Step 6