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Find the derivative of $\left(x+\frac{1}{2}\right)^2+\left(\frac{29+10x}{4}-6\right)^2=\frac{110}{4}$

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Solution

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Step-by-step Solution

How should I solve this problem?

  • Find the derivative
  • Find the derivative using the definition
  • Find the derivative using the product rule
  • Find the derivative using the quotient rule
  • Find the derivative using logarithmic differentiation
  • Find the derivative
  • Integrate by partial fractions
  • Product of Binomials with Common Term
  • FOIL Method
  • Integrate by substitution
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Simplifying

$\frac{d}{dx}\left(\frac{55}{2}\right)$
2

The derivative of the constant function ($\frac{55}{2}$) is equal to zero

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Main Topic: Integrals of Exponential Functions

Those are integrals that involve exponential functions. Recall that an exponential function is a function of the form f(x)=a^x.

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