Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: Why The Derivative Of A Constant Is Always Zero

derivative of a constant:d/dx [c] = ___________________ 0 The derivative of a constant ‘c’ with respect to ‘x’ is always zero. Mathematically, it can be represented as:...

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: Rules For Deriving Sums And Differences Of Functions

Sums and Differences:1) d/dx [f(x) + g(x)] = ___________________2) d/dx [f(x) – g(x)] = ___________________ 1) f'(x) + g'(x)2) f'(x) – g'(x) 1) d/dx [f(x) + g(x)]...

John Rhodes
June 21, 2023
Calculus

Differentiability In Mathematics: Smooth Function Changes And Tangent Linearity

Differentiability implies ___________________ continuity Differentiability implies that a function has a well-defined derivative at a given point or over an interval. In other words, if a function...

John Rhodes
June 21, 2023
Calculus

Mastering Inverse Sine: The Function And Its Properties In Trigonometry.

Inverse Sin 1/√(1-x^2) Inverse sine, also known as arcsine, is an inverse trigonometric function that finds the angle whose sine equals a given value. In other words,...

John Rhodes
June 21, 2023
Calculus

The Inverse Tangent Function: Definition, Notation, And Examples

Inverse Tan 1/(1+x^2) The inverse tangent, also known as arctangent, is a trigonometric function that gives the angle whose tangent is a given number. In other words,...

John Rhodes
June 21, 2023
Calculus

And Evaluating The Inverse Secant Function In Mathematics

Inverse Sec 1/xsqrt(x^2-1) The inverse secant function, denoted as Arcsec or Sec^-1, is the inverse function of the secant function. Its domain is the set of all...

John Rhodes
June 21, 2023
Calculus

How To Use The Chain Rule To Find The Derivative Of Composite Functions In Math

Chain Rule f'(g(x))g'(x) The chain rule is a derivative rule that is used to find the derivative of composite functions. It states that if we have a...

John Rhodes
June 21, 2023
Calculus

The Derivative Of Sin X: A Step-By-Step Guide

Derivative of Sin Cos The derivative of sin x is cos x. To prove this, we can start with the definition of the derivative: f'(x) = lim(h->0)[f(x+h)...