What is the derivative of 5/((4-7x^3)) ?

The derivative of 5/((4-7x^3)) is (105)/((4-7x)^4)

What is the first derivative of 5/((4-7x^3)) ?

The first derivative of 5/((4-7x^3)) is (105)/((4-7x)^4)

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\frac{d}{d x} (\frac{5}{( 4 - 7 x ) ^{3}})

\frac{105}{( 4 - 7 x ) ^{4}}

Solution steps

\frac{d}{d x} (\frac{5}{( 4 - 7 x ) ^{3}})

Take the constant out:

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

= 5 \frac{d}{d x} (\frac{1}{( 4 - 7 x ) ^{3}})

Apply exponent rule:

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

= 5 \frac{d}{d x} ((4 - 7 x)^{- 3})

Apply the chain rule:

- \frac{3}{( 4 - 7 x ) ^{4}} \frac{d}{d x} (4 - 7 x)

= - \frac{3}{( 4 - 7 x ) ^{4}} \frac{d}{d x} (4 - 7 x)

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

= 5 (- \frac{3}{( 4 - 7 x ) ^{4}} (- 7))

Simplify

5 (- \frac{3}{( 4 - 7 x ) ^{4}} (- 7)) : \frac{105}{( 4 - 7 x ) ^{4}}

= \frac{105}{( 4 - 7 x ) ^{4}}

\frac{d}{d x} (cos^{2} (x))

2 x^{2} - 8 x + 11

\frac{d}{d x} (x^{2} (x + sin (x))^{5})

2 t sin (π t)

f (x) = x^{2} + 3 x + 2, at x = 3

What is the derivative of 5/((4-7x^3)) ?
The derivative of 5/((4-7x^3)) is (105)/((4-7x)^4)
What is the first derivative of 5/((4-7x^3)) ?
The first derivative of 5/((4-7x^3)) is (105)/((4-7x)^4)