Calculus | Senioritis

John Rhodes
June 21, 2023
Calculus

The Differential Quotient And Difference Quotient Formulas For Computing Derivatives.

What is the alternative form of a derivative? Lim x->a (f(x)-f(a))/x-a The alternative form of a derivative is known as the differential quotient or a difference quotient....

John Rhodes
June 21, 2023
Calculus

Mastering Vector Derivatives: Differentiating Dot And Cross Products

What is the derivative of (u•v) (u’•v)+(u•v’) The derivative of (u・v), where u and v are vectors, depends on whether we are taking the dot product or...

John Rhodes
June 21, 2023
Calculus

Master The Quotient Rule For Derivatives: A Comprehensive Guide For Math Enthusiasts

What is the derivative of [u/v] (v•u’-v’•u)/v^2 To find the derivative of the quotient of two functions u(x) and v(x), we can use the quotient rule. The...

John Rhodes
June 21, 2023
Calculus

Master The Derivative Of Ln(U): A Comprehensive Guide For Differentiable Functions

What is the derivative of [ln u] u’/u The derivative of ln(u) is equal to 1/u times the derivative of u: $$\frac{d}{dx}(\ln u) = \frac{1}{u}\frac{du}{dx}$$ This can...

John Rhodes
June 21, 2023
Calculus

Mastering Calculus: The Exponential Chain Rule For Derivatives Of E^U

What is the derivative of [e^u] e^u•u’ The derivative of [e^u] with respect to u is simply [e^u]. This is due to the property of exponential functions...

John Rhodes
June 21, 2023
Calculus

Floor Function And Derivatives: The Case Of [Sin X]

What is the derivative [sin x] Cos x The derivative of [sin x], where [ ] represents the floor function or greatest integer function, is not defined...

John Rhodes
June 21, 2023
Calculus

The Non-Existence Of The Derivative Of [Tan X] For Specific Values Of X Using The Greatest Integer Function

What is the derivative of [tan x] Sec^2x The derivative of [tan x], where [ ] denotes the greatest integer function, does not exist for x =...

John Rhodes
June 21, 2023
Calculus

How To Find The Derivative Of Cot X: Step-By-Step Guide With Quotient Rule

What is the derivative of [cot x] -csc^2 x To find the derivative of [cot x], we need to use the quotient rule. Recall that the cotangent...