What is the derivative of 3/(4(2x-5^8)) ?

The derivative of 3/(4(2x-5^8)) is -(12)/((2x-5)^9)

What is the first derivative of 3/(4(2x-5^8)) ?

The first derivative of 3/(4(2x-5^8)) is -(12)/((2x-5)^9)

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\frac{d}{d x} (\frac{3}{4 ( 2 x - 5 ) ^{8}})

- \frac{12}{( 2 x - 5 ) ^{9}}

Solution steps

\frac{d}{d x} (\frac{3}{4 ( 2 x - 5 ) ^{8}})

Take the constant out:

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

= \frac{3}{4} \frac{d}{d x} (\frac{1}{( 2 x - 5 ) ^{8}})

Apply exponent rule:

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

= \frac{3}{4} \frac{d}{d x} ((2 x - 5)^{- 8})

Apply the chain rule:

- \frac{8}{( 2 x - 5 ) ^{9}} \frac{d}{d x} (2 x - 5)

= - \frac{8}{( 2 x - 5 ) ^{9}} \frac{d}{d x} (2 x - 5)

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

= \frac{3}{4} (- \frac{8}{( 2 x - 5 ) ^{9}} \cdot 2)

Simplify

\frac{3}{4} (- \frac{8}{( 2 x - 5 ) ^{9}} \cdot 2) : - \frac{12}{( 2 x - 5 ) ^{9}}

= - \frac{12}{( 2 x - 5 ) ^{9}}

x \to - \infty lim (\frac{x ^{2} + 8 x}{8 x + 1})

d er i v a t i v e f (x) = 2000 (x^{2} + 5)^{\frac{1}{3}}

\int_{0}^{2} e^{- x^{2}} d x

\frac{d}{d x} (4 x^{3} - 10 x^{2})

(4 x^{2})^{^{'}}

What is the derivative of 3/(4(2x-5^8)) ?
The derivative of 3/(4(2x-5^8)) is -(12)/((2x-5)^9)
What is the first derivative of 3/(4(2x-5^8)) ?
The first derivative of 3/(4(2x-5^8)) is -(12)/((2x-5)^9)