Mathematics | Senioritis

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...

John Rhodes
June 21, 2023
Calculus

Mastering The Product Rule: How To Find Derivatives Of Functions With Two Variables

If h(x) = f(x)g(x), what is h'(x)? (product rule) f(x)g'(x) + g(x)f'(x) The product rule states that if we have two functions f(x) and g(x), then the...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Tanx Using Quotient Rule Of Differentiation

d/dx tanx derivative of tanx with respect to x is sec^2x – 2tanxsecxsinx. The derivative of tanx with respect to x can be found using the quotient...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Sec(X) And Simplify The Result

d/dx secx secxtanx To find the derivative of sec(x), we’ll need to use the chain rule and the derivative of the cosine function. The chain rule tells...

John Rhodes
June 21, 2023
Calculus

Learn To Find The Derivative Of Cot(X) Using The Quotient Rule Of Differentiation

d/dx cotx derivative of cot(x) is -cosec^2(x) or -1/[sin(x)*cos^2(x)]. To find the derivative of cot(x), we can use the quotient rule of differentiation, since cot(x) is formed...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: Discovering The Derivative Of Sin(X) = Cos(X)

d/dx sinx cosx The derivative of sin(x) with respect to x is cos(x). To see why, we can use the definition of the derivative. The derivative of...