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  • 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...
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  • 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...
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  • 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...
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  • 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...
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  • 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...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Discover The Power Of Derivatives: Finding The Derivative Of Eˣ Simplified

d/dx eˣ eˣ The derivative of eˣ with respect to x is eˣ. To see why, we can use the definition of the derivative: f'(x) = lim(h...
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  • John Rhodes
  • June 21, 2023
  • Calculus

How To Find The Derivative Of Ln(X) With Step-By-Step Guide?

d/dx ln(x) 1/x The derivative of the natural logarithm function ln(x) is given by: d/dx ln(x) = 1/x To see how this derivative is obtained, we need...
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  • John Rhodes
  • June 21, 2023
  • Calculus

Finding X-Intercepts Of Quadratic Function: Step-By-Step Guide

Which point is an x-intercept of the quadratic function f(x) = (x – 4)(x + 2)?(-4, 0)(-2, 0)(0, 2)(4, -2) B (-2, 0) An x-intercept of a...
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