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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derivative of

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}

\int (\frac{6}{x} + \frac{x}{6}) d x

(1 + cos^{2} (x))^{9}

\frac{( 3 s + 4 )}{s ^{2} + 10 s + 21}

\int \frac{1}{tan ( x ) + 1} d x

x y^{^{'}} + (1 + x) y = e^{- x}

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