Find the first derivative of the following function: {eq}Y = 5X^{4/5} + 3X^3 - 2X^{3/2} - 10 {/eq}

## Question:

Find the first derivative of the following function: {eq}Y = 5X^{4/5} + 3X^3 - 2X^{3/2} - 10 {/eq}

## Differentiation:

The first derivative of a product can be found by differentiating it once. This derivative gives us the change in the value of the function when its input increases by 1 unit.

## Answer and Explanation: 1

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View this answerWe can find the derivative of the function as follows.

$$\begin{align} Y'& = \frac{\mathrm{d} }{\mathrm{d} X}\left ( 5X^{4/5} + 3X^3 - 2X^{3/2} -...

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Chapter 8 / Lesson 13The rules of differentiation are useful to find solutions to standard differential equations. Identify the application of product rule, quotient rule, and chain rule to solving these equations through examples.

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