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Using the three-step approach (formal definition of derivatives: (as discussed in class)), find the derivative of the following function () = √ 2 − 5x

User Modesta
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1 Answer

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The derivative of f(x) = √{2 - 5x) with respect to x is


(-5)/(2√((2-5x)) )

How to find the derivative

Derivative of f(x) =
\sqrt{{(2 - 5x)}

Let u = 2 - 5x

derivative of u =
(1)/(2√(u) )

Find the Derivative of the Inner Function

U = -5

Substituting for u

=
(1)/(2√((2-5x)) )*-5

=
(-5)/(2√((2-5x)) )

User Patrick Moore
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