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  • John Rhodes
  • June 21, 2023
  • Calculus

Learn How To Find The Derivative Of Sec(X) With Ease!

d/dx(secx) secxtanx To find the derivative of sec(x) with respect to x, we need to use the chain rule and the fact that sec(x) is equal to...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering The Chain Rule: How To Find The Derivative Of Ln(U) With Respect To X

d/dx(lnu) u’/u To find the derivative of ln(u) with respect to x, we’ll need to use the chain rule. Let’s begin by defining a new function v...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Mastering The Chain Rule: How To Find The Derivative Of E^U With Respect To X

d/dx(e^u) e^u(u’) Using the chain rule of differentiation, we have: d/dx(e^u) = d/dx(e^(u(x))) = d/du(e^u) * du/dx Since u is a function of x, we need to...
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  • 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...
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  • 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...
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  • 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....
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  • 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....
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  • 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...
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