Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Why The Limit Of Sin(Theta)/Theta As Theta Approaches 0 Is Equal To 1: A Visual Explanation Using The Unit Circle

lim theta->0 sin(theta) / theta = ___________________ 1 The limit of sin(theta)/theta as theta approaches 0 is equal to 1. To see why, consider the unit circle...

John Rhodes
June 21, 2023
Calculus

How To Evaluate The Limit Using L’Hopital’S Rule And Small-Angle Approximation In Mathematics

lim theta->0 1 – cos(theta) / theta = ___________________ 0 To evaluate this limit, we can use L’Hopital’s rule or the small-angle approximation. Using L’Hopital’s rule: We...

John Rhodes
June 21, 2023
Calculus

Master The Power Rule In Calculus: Deriving The Derivative Of X^N

Power Rule:d/dx [x^n] = ___________________ nx^n-1 The Power Rule in calculus is a formula used to find the derivative of a power function. Applying the Power Rule...

John Rhodes
June 21, 2023
Calculus

Master The Basics: Derivative Of A Constant Explained With Examples

derivative of a constant:d/dx [c] = ___________________ 0 The derivative of a constant is always zero. Therefore, the derivative of c with respect to x is zero....

John Rhodes
June 21, 2023
Calculus

Mastering Derivatives: The Sum And Difference Rules Explained – Boost Your Math Skills Now

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) Using the sum rule...

John Rhodes
June 21, 2023
Calculus

Differentiability In Mathematics: Explained And Simplified

Differentiability implies ___________________ continuity Differentiability implies the existence of the derivative of a function at a certain point. In particular, if a function is differentiable at a...

John Rhodes
June 21, 2023
Calculus

How To Find Derivatives Using The Chain Rule In Calculus

If h(x) = f(g(x)), what is h'(x)? (Chain rule) f'(g(x)) * g'(x) To find the derivative of h(x), we need to use the chain rule of differentiation,...

John Rhodes
June 21, 2023
Calculus

Learn How To Find Derivatives Using The Quotient Rule For Math Equations

If h(x) = f(x)/g(x), then h'(x) = [g(x)f'(x) – f(x)g'(x)]/[g(x)*g(x)] To find the derivative of h(x), we’ll use the quotient rule. The quotient rule states that: If...