John Rhodes, Math Teacher at Senioritis.io

John Rhodes
June 21, 2023
Calculus

Learn How To Find The Derivative Of The Sum Of Two Functions Using Basic Calculus Principles

d/dx[f(x) + g(x)]= f'(x) + g'(x) The derivative of the sum of two functions f(x) and g(x) with respect to x is the sum of the individual...

John Rhodes
June 21, 2023
Calculus

Master The Linearity Property Of Differentiation: Simplifying Derivatives Of Math Functions With Examples.

d/dx[f(x)-g(x)]= g(x)f'(x) – f(x)g'(x) Using the linearity property of differentiation, we can write d/dx[f(x)-g(x)]= d/dx[f(x)] – d/dx[g(x)] Here, we are simply subtracting the derivative of g(x) from...

John Rhodes
June 21, 2023
Calculus

Master The Art Of Finding Derivatives: A Guide To The Derivative Of X To The Power Of N

d/dx[x^n]= nx^n-1 The derivative of x to the power of n is: d/dx[x^n] = n*x^(n-1) This means that when we take the derivative of x to the...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Proving The Derivative Of E^X Is E^X With Step-By-Step Process

d/dx[e^x]= e^x The derivative of e^x is e^x. To show this, we use the definition of the derivative: lim(h->0) [(e^(x+h) – e^x) / h] = lim(h->0) [e^x(e^h...

John Rhodes
June 21, 2023
Calculus

How To Differentiate D/Dx[B^X] Using The Chain Rule: Step-By-Step Guide

d/dx[b^x]= ln(b)b^x To differentiate d/dx[b^x], we can use the chain rule. Let y = b^x, then: d/dx[b^x] = d/dx[y] = dy/dx Now we need to find dy/dx....

John Rhodes
June 21, 2023
Calculus

How To Find Derivatives Of Two Functions With Product Rule Of Differentiation | Step-By-Step Guide

d/dx[f(x)g(x)]= f(x)g'(x) + g(x)f'(x) Using the product rule of differentiation, we have: d/dx[f(x)g(x)] = f'(x)g(x) + f(x)g'(x) Therefore, the derivative of the product of two functions f(x)...

John Rhodes
June 21, 2023
Calculus

Master The Quotient Rule For Derivatives Of Ratio Functions With Step-By-Step Guide

d/dx[f(x)/g(x)]= g(x)f'(x)-f(x)g'(x)/g(x)^2 The derivative of the ratio of two functions f(x) and g(x) with respect to x is given by the quotient rule: d/dx [f(x)/g(x)] = [g(x)*d/dx[f(x)]...

John Rhodes
June 21, 2023
Calculus

Discover How To Derive The Cosine Function Of X With Ease

d/dx[sin(x)]= cos(x) cos(x) To find the derivative of sin(x), we use the chain rule, which states that the derivative of a composition of functions is the product...