Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

Master The Product Rule Of Differentiation: Learn How To Find Derivatives Of Functions

d/dx [f(x)g(x)] f'(x)g(x)+f(x)g'(x) The product rule of differentiation states that the derivative of the product of 2 functions (f and g) is equal to the first function...

John Rhodes
June 21, 2023
Calculus

How To Use The Quotient Rule Of Differentiation For Finding Derivatives Of F(X) / G(X)

d/dx [f(x)/g(x)] (f'(x)g(x)-f(x)g'(x)) / (g(x))^2 To differentiate [f(x) / g(x)], we’ll need to use the quotient rule of differentiation. According to the quotient rule, the derivative of...

John Rhodes
June 21, 2023
Calculus

Math Basics: Why The Derivative Of A Constant ‘C’ With Respect To ‘X’ Is Always Zero

d/dx [c] 0 The derivative of a constant ‘c’ with respect to ‘x’ is zero. This is because a constant term does not contain any variable ‘x’...

John Rhodes
June 21, 2023
Calculus

Mastering The Power Rule: How To Differentiate Functions Of X^N Like A Pro

d/dx [x^n] nx^n-1 To differentiate the function x^n with respect to x, we use the power rule of differentiation, which states that the derivative of x^n is...

John Rhodes
June 21, 2023
Calculus

Mastering The Chain Rule: How To Find Derivatives Of Composite Functions In Calculus

d/dx[f(g(x))] f'(g(x)) g'(x) The chain rule states that if we have a composite function f(g(x)), then the derivative with respect to x is given by: d/dx[f(g(x))] =...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Natural Logarithm Of X (Ln X) – A Guide To Calculating The Derivative Of Ln X Through Exponential And Chain Rule Application.

d/dx [ln x] 1/x The derivative of natural logarithm of x (ln x) can be found as follows: Let y = ln x, where x > 0...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Derivative Of E^X And Its Proof With L’Hôpital’S Rule

d/dx [e^x] e^x The derivative of e^x with respect to x is e^x. To show this, we can use the definition of a derivative: d/dx [e^x] =...

John Rhodes
June 21, 2023
Calculus

How To Derive The Chain Rule Formula For Differentiation Of Logarithms With Base ‘A’

d/dx[loga(x)] 1/xlna We can use the chain rule of differentiation to find the derivative of loga(x) with respect to x. Let u = loga(x). Then, du/dx =...