Help Videos for MATH 1325 – Calculus for Business & Social Sciences

Lesson 7 Videos: Numerical Derivatives, Applications and Higher Order Derivatives

MATH 1325 was formerly named MATH 1314.

Derivatives at a point and numerical derivatives

Example 1: Finding the derivative at a given point

Example 2: Rate of change application — derivative at a point

Example 3: Finding the numerical derivative

Example 4: Finding the numerical derivative

Example 5: Finding the numerical derivative

Example 6: Finding the numerical derivative

Example 7: Finding the numerical derivative

Example 8: Finding the numerical derivative

Example 9: Finding the numerical derivative

Applications

Process for writing the equation of a tangent line

Example 10: Finding the slope of the tangent line at a given point

Example 11: Writing the equation of a line tangent to a curve at a given point

Example 12: Writing the equation of a line tangent to a curve at a given point

Identifying if a problem is asking for rate of change or function value

Example 13: Application involving rate of change

Example 14: Application involving rate of change and average rate of change

Example 15: Application involving rate of change

Example 16: Application involving rate of change, function value, and average rate of change

Example 17: Application involving rate of change

Example 18: Application involving function value and rate of change

Overview: Problems involving velocity, height, and time

Example 19: Application involving velocity, height, and time

Example 20: Application involving velocity, height, and time

Where is the derivative equal to a given constant, i.e., where does f'(x) = k?

Example 21: Find all values for which f'(x) is equal to zero

Example 22: Find all values for which f'(x)=3

Higher Order Derivatives

Overview: Higher order derivatives

Example 23: Evaluating the second derivative at a given point

Example 24: Evaluating the second derivative at a given point

Example 25: Evaluating the second derivative at a given point

Example 26: Evaluating the second derivative at a given point