Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Power Functions With Negative Exponents In Mathematics

Power Functions with negative exponents d/dx(√x) = (1/2√x)d/dx(x^1/2) = (1/2x^-1/2) A power function with a negative exponent is a function of the form f(x) = x^(-n), where...

John Rhodes
June 21, 2023
Calculus

Power Functions With Fractional Exponents For Non-Linear Modeling.

Power Function with fractional exponents Normal line to a Curve C at a Point P is the line through P that is perpendicular to the tangent line...

John Rhodes
June 21, 2023
Calculus

The Normal Line In Calculus: Definition, Importance, And Applications

Normal line 1/x^n The normal line is a line that is perpendicular to a given curve at a specific point. It intersects the curve at that point...

John Rhodes
June 21, 2023
Calculus

Mastering Negative Exponents: Simplify Math Expressions Effortlessly

x^-n y-y₁=m(x-x₁) The expression x^-n represents the reciprocal of x^n, where n is a positive integer. In other words, x^-n can be written as 1/x^n. For example,...

John Rhodes
June 21, 2023
Calculus

Master The Point-Slope Formula: Equation Of A Straight Line Made Easy

Point-slope formula opposite reciprocal of slope of the tangent line The point-slope formula is an equation used to find the equation of a straight line when we...

John Rhodes
June 21, 2023
Calculus

The Power Rule: A Comprehensive Guide To Calculus’ Differentiation Formula For X^N Functions

Power Rule x^n = nx^n-1 The power rule is a formula used in calculus to differentiate functions of the form f(x) = x^n, where n is a...

John Rhodes
June 21, 2023
Calculus

Mastering The Product Rule In Calculus: An Efficient Way To Find Derivatives Of Product Functions

Product Rule f'(x)g(x)+f(x)g'(x) In calculus, the product rule is a formula that is used to find the derivative of the product of two functions. It is often...

John Rhodes
June 21, 2023
Calculus

Mastering The Quotient Rule: Calculus Made Easy

Quotient Rule {g(x)f'(x)-f(x)g'(x)}/g(x)^2 The quotient rule is a rule used in calculus to find the derivative of a quotient of two functions. If we have two functions...