What is the derivative of 4(5-9x^5) ?

The derivative of 4(5-9x^5) is -180(5-9x)^4

What is the first derivative of 4(5-9x^5) ?

The first derivative of 4(5-9x^5) is -180(5-9x)^4

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\frac{d}{d x} (4 (5 - 9 x)^{5})

- 180 (5 - 9 x)^{4}

Solution steps

\frac{d}{d x} (4 (5 - 9 x)^{5})

Take the constant out:

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

= 4 \frac{d}{d x} ((5 - 9 x)^{5})

Apply the chain rule:

5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

= 5 (5 - 9 x)^{4} \frac{d}{d x} (5 - 9 x)

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

= 4 \cdot 5 (5 - 9 x)^{4} (- 9)

Simplify

= - 180 (5 - 9 x)^{4}

\frac{d}{d x} (tan^{l n (5 x)} (cos (x)))

arctan (e^{x})

- x^{2} + 2 x, y = x^{3} + x^{2} - 6 x

y = x^{3} - 2 x^{2}, y = 2 x^{2} - 3 x

\frac{2}{( ( s + 2 ) ( s ^{2} - 4 ) )}

What is the derivative of 4(5-9x^5) ?
The derivative of 4(5-9x^5) is -180(5-9x)^4
What is the first derivative of 4(5-9x^5) ?
The first derivative of 4(5-9x^5) is -180(5-9x)^4