Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Understanding Sine(x): Definition, Calculation, and Applications in Trigonometry

sinx : cosx Sine(x) is a mathematical function that represents the ratio of the side opposite to an angle x in a right-angled triangle to the hypotenuse...

John Rhodes
June 21, 2023
Calculus

Understanding the Cosine Function: Definition, Properties, and Applications

cosx : -sinx The function cos(x) is a trigonometric function that describes the ratio of the adjacent side of a right triangle to the hypotenuse. In other...

John Rhodes
June 21, 2023
Calculus

How to Use Trigonometric Function Tanx in Mathematics for Accurate Calculations – Properties and Limitations Explained

tanx : sec^2x tanx is the trigonometric function tangent of angle x, where x is measured in radians. It’s defined as the ratio of the length of...

John Rhodes
June 21, 2023
Calculus

Understanding the Secant Function: Definition, Properties, and Evaluation

secx : sec(x)tan(x) The function `sec(x)` is the reciprocal of `cos(x)`. It is defined as: `sec(x) = 1/cos(x)` Here, `x` represents the input angle in radians. The...

John Rhodes
June 21, 2023
Calculus

Mastering the Chain Rule: A Calculus Guide to Derivatives of Composite Functions

Chain Rule f(g(x)) = f'(g(x)) g'(x) The chain rule is a calculus rule used to find the derivative of a composite function. A composite function is a...

John Rhodes
June 21, 2023
Calculus

Understanding Higher Order Derivatives in Mathematics and Their Practical Applications

Higher Order Derivatives y = sin +1 = cos +2 = -sin +3 = -cos+4 = sind ^( 4(n)+ #) Higher order derivatives refer to the derivatives...

John Rhodes
June 21, 2023
Calculus

Understanding Leibniz Notation: Representing Derivatives and Differentials of Mathematical Functions.

Leibniz Notation dy/dx =dy/du*du/dx Leibniz notation is a mathematical notation used to represent derivatives and differentials of mathematical functions. Leibniz notation is named after the German mathematician...

John Rhodes
June 21, 2023
Calculus

The Inverse Function Theorem: Understanding the Key Properties of Invertible Functions in Calculus

Inverse Function Theorem (f^-1)'(a) = 1/f'(f^-1(a)) The Inverse Function Theorem is a theorem in calculus that relates to the properties of invertible functions. The theorem is a...