Mathematics | Senioritis

John Rhodes
June 21, 2023
Calculus

How To Differentiate A Function Of The Form A^U With The Chain Rule Of Differentiation

d/dx(a^u) a^u(lna)(u’) To differentiate a function of the form a^u with respect to x, we use the chain rule of differentiation. Let y = a^u, where a...

John Rhodes
June 21, 2023
Calculus

The Parabolic Function F(X)=X^2: Graphing, Roots, And Symmetry

f(x)=x^2 f'(x)=2x Function f(x)=x^2 represents a parabola. This mathematical function will give us the square of the input value x. We can graph f(x)=x^2 by plotting various...

John Rhodes
June 21, 2023
Calculus

The Constant Function: Properties, Graph, Derivative And Integral.

f(x)=c f'(x)=0 The function f(x) = c is known as a constant function because it always returns the same value, c, for any input value of x....

John Rhodes
June 21, 2023
Calculus

Cubic Functions: Exploring The Power Of F(X) = X³

f(x)=x^3 f'(x)=3x^2 Function f(x) is defined as: f(x) = x^3 Here, we raise x to the third power, which means we multiply x by itself three times....

John Rhodes
June 21, 2023
Calculus

Exploring The Properties And Applications Of The Trigonometric Function Cosine (Cos X)

f(x)=cosx f'(x)sinx The function f(x) = cos x is a trigonometric function that gives the cosine of an angle x, where x is measured in radians. Here...

John Rhodes
June 21, 2023
Calculus

The Period, Amplitude, Intercepts, And Values Of The Sine Function

f(x)=sinx f'(x)=cosx 1. What is the period of the function? The standard form of the sine function is f(x) = sin(x), and the period of the sine...

John Rhodes
June 21, 2023
Calculus

Exploring The Square Root Function: Domain, Range, Graph, And Properties

f(x)=sqrt(x) f'(x)=1/(2sqrt(x)) The function f(x) = √x is a typical example of a square root function. It is defined for all non-negative real numbers. Here are some...

John Rhodes
June 21, 2023
Calculus

Analyzing And Graphing A Fourth-Degree Polynomial Function

f(x)=(x^4)+7x^2+5 f(x)=12x^2+14 The expression you’ve given is a fourth-degree polynomial function, f(x) = x^4 + 7x^2 + 5. Here are some explanations and strategies you can use...