What is the derivative of y= 4/(5-3(x)) ?

The derivative of y= 4/(5-3(x)) is (12)/((5-3x)^2)

What is the first derivative of y= 4/(5-3(x)) ?

The first derivative of y= 4/(5-3(x)) is (12)/((5-3x)^2)

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derivative of

y = \frac{4}{5 - 3 ( x )}

\frac{12}{( 5 - 3 x ) ^{2}}

Solution steps

\frac{d}{d x} (\frac{4}{5 - 3 x})

Take the constant out:

(a \cdot f)^{'} = a \cdot f^{'}

= 4 \frac{d}{d x} (\frac{1}{5 - 3 x})

Apply exponent rule:

\frac{1}{a} = a^{- 1}

= 4 \frac{d}{d x} ((5 - 3 x)^{- 1})

Apply the chain rule:

- \frac{1}{( 5 - 3 x ) ^{2}} \frac{d}{d x} (5 - 3 x)

= - \frac{1}{( 5 - 3 x ) ^{2}} \frac{d}{d x} (5 - 3 x)

\frac{d}{d x} (5 - 3 x) = - 3

= 4 (- \frac{1}{( 5 - 3 x ) ^{2}} (- 3))

Simplify

4 (- \frac{1}{( 5 - 3 x ) ^{2}} (- 3)) : \frac{12}{( 5 - 3 x ) ^{2}}

= \frac{12}{( 5 - 3 x ) ^{2}}

x \to 4 lim (\frac{x}{x - 4})

\int_{0}^{4} x (4 - x) d x

d y - (y - 1)^{2} = d x

f (x) = x^{2} + 9, at x = 4

h \to 0 lim (1)

What is the derivative of y= 4/(5-3(x)) ?
The derivative of y= 4/(5-3(x)) is (12)/((5-3x)^2)
What is the first derivative of y= 4/(5-3(x)) ?
The first derivative of y= 4/(5-3(x)) is (12)/((5-3x)^2)