Find the derivative using logarithmic differentiation
Find the derivative using the definition
Find the derivative using the product rule
Find the derivative using the quotient rule
Find the derivative
Integrate by partial fractions
Product of Binomials with Common Term
FOIL Method
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1
To derive the function $\left(2x+1\right)^5\left(x^4-3\right)^6$, use the method of logarithmic differentiation. First, assign the function to $y$, then take the natural logarithm of both sides of the equation
$y=\left(2x+1\right)^5\left(x^4-3\right)^6$
2
Apply natural logarithm to both sides of the equality
The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$
The derivative of the natural logarithm of a function is equal to the derivative of the function divided by that function. If $f(x)=ln\:a$ (where $a$ is a function of $x$), then $\displaystyle f'(x)=\frac{a'}{a}$
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