How do you do derivatives

1 answer:

4 0

The first step to finding the derivative is to take any exponent in the function and bring it down, multiplying it times the coefficient. We bring the 2 down from the top and multiply it by the 2 in front of the x. Then, we reduce the exponent by 1. The final derivative of that term is 2*(2)x1, or 4x.

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[15 Points] Solve for x.<br> <img src="https://tex.z-dn.net/?f=45x%2B34%3D24x%2B16" id="TexFormula1" title="45x+34=24x+16" alt="

sergiy2304 [10]

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collect like terms, we now have;

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Vika [28.1K]

${\boxed{\mathcal{\purple{D.\:81}}}}$ ✅

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}$

$( {3})^{ \frac{11}{5} } \div {3}^{ \frac{ - 9}{5} } \\ \\=( {3})^{ \frac{11}{5} - ( \frac{ - 9}{5} ) } \\ \\ = ( {3})^{ \frac{11}{5} + \frac{9}{5} } \\ \\ = ( {3})^{ \frac{11 + 9}{5} } \\ \\ = ( {3})^{ \frac{20}{5} } \\ \\ = ( {3})^{4} \\ \\ = ( \: 3 \times 3 \times 3 \times 3 \: ) \\ \\ = 81$