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

The derivative of (3-5x^5) is -25(3-5x)^4

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

The first derivative of (3-5x^5) is -25(3-5x)^4

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

- 25 (3 - 5 x)^{4}

Solution steps

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

Apply the chain rule:

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

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

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

= 5 (3 - 5 x)^{4} (- 5)

Simplify

= - 25 (3 - 5 x)^{4}

\frac{d}{d x} (\frac{x ^{4}}{x - 1})

x = \frac{12 - y ^{2}}{4}, x = y

y^{^{'}} x + 4 y x = 8, y (0) = 1

\int \frac{1}{( 1 + sin ^{2} ( x ) )} d x

x^{2} - x - 2

What is the derivative of (3-5x^5) ?
The derivative of (3-5x^5) is -25(3-5x)^4
What is the first derivative of (3-5x^5) ?
The first derivative of (3-5x^5) is -25(3-5x)^4