Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering The First Derivative Test For Maximum And Minimum Points In Calculus Functions

When f(x) changes from increasing to decreasing – maximum, decreasing to increasing – minimum. Also check endpoints if they are included. Find the relative minimum/maximum value of...

John Rhodes
June 21, 2023
Calculus

Graph Axes: How To Identify Positive And Negative Roots Of Math Functions

When the graph crosses the x-axis (positive to negative, negative to positive) Find the maximum/minimum values of f(x) given a graph of f ‘(x). When a graph...

John Rhodes
June 21, 2023
Calculus

Learn How To Calculate The Second Derivative Of A Function And Determine Its Concavity With Critical Values

Find second derivativeFind critical valuesPositive – concave up, negative – concave down Find where a function is concave down/up given an equation of f(x). To find the...

John Rhodes
June 21, 2023
Calculus

Graph Concavity And Slope: How Derivatives Aid Analysis

Based on slope of graph. Increasing – concave up, decreasing – concave down Find where a function is concave down/up given a graph of f ‘(x). The...

John Rhodes
June 21, 2023
Calculus

Mastering The Integral Of A Function: Calculating Area Under A Curve And Solving Problems

The position is the integral of velocity a function. In calculus, the integral of a function is a mathematical operation that is used to calculate the area...

John Rhodes
June 21, 2023
Calculus

The Relationship Between Acceleration And Velocity: The Equation For Velocity With Respect To Time

The velocity is the integral of acceleration the acceleration function with respect to time. The equation for velocity is given by: v(t) = ∫ a(t) dt +...

John Rhodes
June 21, 2023
Calculus

The Power Rule Of Integration: Antiderivatives Of X^R Explained (R ≠ -1)

∫x^r dx = [x^(r+1) / (r +1) ] + C Assuming that r is not equal to -1, the antiderivative of x^r with respect to x is:...

John Rhodes
June 21, 2023
Calculus

Learn How To Evaluate Integral Of Cos(X) Using Integration By Substitution

∫cosx dx = sinx + C The integral of cos(x) can be evaluated using integration by substitution: Let u = sin(x); then du/dx = cos(x) and dx...