Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

Mastering The Sum And Difference Rule Of Derivatives: Simplify Calculus With Easy Techniques

d/dx[u±v] u’±v’ The derivative of the sum or difference of two functions is equal to the sum or difference of their individual derivatives. Therefore, we can use...

John Rhodes
June 21, 2023
Calculus

How To Differentiate The Product Of Two Functions: A Step-By-Step Guide Using The Product Rule Formula

d/dx[uv] u’v+uv’ To differentiate the product of two functions u(x) and v(x), we use the product rule, which states: d/dx [u(x)v(x)] = u(x) d/dx [v(x)] + v(x)...

John Rhodes
June 21, 2023
Calculus

How To Differentiate U/V Using Quotient Rule Of Differentiation

d/dx[u/v] (u’v-uv’)/v² To solve this expression, we need to use the quotient rule of differentiation, which states that: d/dx(u/v) = (v * d/dx(u) – u * d/dx(v))...

John Rhodes
June 21, 2023
Calculus

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

d/dx[c] 0 The derivative of a constant value, such as c, with respect to any variable, including x, is always zero. This can be demonstrated using the...

John Rhodes
June 21, 2023
Calculus

Master The Chain Rule: How To Differentiate U^N With Respect To X – A Comprehensive Guide

d/dx[uⁿ] nuⁿ⁻¹u′ To differentiate u^n with respect to x, we need to use the chain rule of differentiation because u is a function of x and n...

John Rhodes
June 21, 2023
Calculus

Basic Calculus: The Derivative Of X With Respect To X

d/dx[x] 1 The derivative of x with respect to x is 1. This is because the derivative of any variable/number with respect to itself is always 1,...

John Rhodes
June 21, 2023
Calculus

Chain Rule Of Differentiation For Absolute Value: Derivatives Of U With Respect To X

d/dx[|u|] (u/|u|)u’,u≠0 The function |u| represents the absolute value of u, which is defined as: |u| = {u, if u >= 0 {-u, if u < 0...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Ln(U) With Respect To X: A Step-By-Step Guide

d/dx[lnu] u’/u The derivative of ln(u) with respect to x is given by: (d/dx)[ln(u)] = (1/u) * (du/dx) where u is the function with respect to which...