What is the derivative of (3-2x^5) ?

The derivative of (3-2x^5) is -10(3-2x)^4

What is the first derivative of (3-2x^5) ?

The first derivative of (3-2x^5) is -10(3-2x)^4

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\frac{d}{d x} ((3 - 2 x)^{5})

- 10 (3 - 2 x)^{4}

Solution steps

\frac{d}{d x} ((3 - 2 x)^{5})

Apply the chain rule:

5 (3 - 2 x)^{4} \frac{d}{d x} (3 - 2 x)

= 5 (3 - 2 x)^{4} \frac{d}{d x} (3 - 2 x)

\frac{d}{d x} (3 - 2 x) = - 2

= 5 (3 - 2 x)^{4} (- 2)

Simplify

= - 10 (3 - 2 x)^{4}

\frac{d y}{d x} = \frac{y}{( x + y )}

\int \frac{sec ( x ) tan ( x )}{sec ( x ) + 100} d x

\int arcsin (5 x) d x

\int \frac{ln ( x ^{10} )}{x} d x

\frac{2 s - 6}{s ^{2} - 9}

What is the derivative of (3-2x^5) ?
The derivative of (3-2x^5) is -10(3-2x)^4
What is the first derivative of (3-2x^5) ?
The first derivative of (3-2x^5) is -10(3-2x)^4