What is the derivative of y= 1/((7x+16)^4) ?

The derivative of y= 1/((7x+16)^4) is -(28)/((7x+16)^5)

What is the first derivative of y= 1/((7x+16)^4) ?

The first derivative of y= 1/((7x+16)^4) is -(28)/((7x+16)^5)

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derivative of

y = \frac{1}{( 7 x + 16 ) ^{4}}

- \frac{28}{( 7 x + 16 ) ^{5}}

Solution steps

\frac{d}{d x} (\frac{1}{( 7 x + 16 ) ^{4}})

Apply exponent rule:

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

= \frac{d}{d x} ((7 x + 16)^{- 4})

Apply the chain rule:

- \frac{4}{( 7 x + 16 ) ^{5}} \frac{d}{d x} (7 x + 16)

= - \frac{4}{( 7 x + 16 ) ^{5}} \frac{d}{d x} (7 x + 16)

\frac{d}{d x} (7 x + 16) = 7

= - \frac{4}{( 7 x + 16 ) ^{5}} \cdot 7

Simplify

- \frac{4}{( 7 x + 16 ) ^{5}} \cdot 7 : - \frac{28}{( 7 x + 16 ) ^{5}}

= - \frac{28}{( 7 x + 16 ) ^{5}}

7 sec (x)

\frac{\partial}{\partial x} (\frac{y}{y - 4 x})

\frac{( e ^{x} )}{1 + x}

x \to \infty lim (\frac{x ^{4}}{e ^{- 6 x}})

y = 2 ln (x), y = 0, x = 3 e

What is the derivative of y= 1/((7x+16)^4) ?
The derivative of y= 1/((7x+16)^4) is -(28)/((7x+16)^5)
What is the first derivative of y= 1/((7x+16)^4) ?
The first derivative of y= 1/((7x+16)^4) is -(28)/((7x+16)^5)