Find the derivative of $\frac{3}{2}+\frac{-5}{4x}-1=-\frac{2}{5}$ using the definition

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  • Find the derivative using the definition
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
  • Integrate by parts
  • Integrate using tabular integration
  • Integrate by trigonometric substitution
  • Weierstrass Substitution
  • Prove from LHS (left-hand side)
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Find the derivative of $-\frac{2}{5}$ using the definition. Apply the definition of the derivative: $\displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}$. The function $f(x)$ is the function we want to differentiate, which is $-\frac{2}{5}$. Substituting $f(x+h)$ and $f(x)$ on the limit, we get

$\lim_{h\to0}\left(\frac{-\frac{2}{5}- -\frac{2}{5}}{h}\right)$

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$\lim_{h\to0}\left(\frac{-\frac{2}{5}- -\frac{2}{5}}{h}\right)$

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Learn how to solve definition of derivative problems step by step online. Find the derivative of 3/2+-5/(4x)+-1=-2/5 using the definition. Find the derivative of -\frac{2}{5} using the definition. Apply the definition of the derivative: \displaystyle f'(x)=\lim_{h\to0}\frac{f(x+h)-f(x)}{h}. The function f(x) is the function we want to differentiate, which is -\frac{2}{5}. Substituting f(x+h) and f(x) on the limit, we get. Multiply the fraction and term in - -\frac{2}{5}. Combine fractions with common denominator 5. Add the values -2 and 2.

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Main Topic: Definition of Derivative

Resolution of derivatives using the definition of the derivative, which is the limit of difference quotients of real numbers.

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