Derivative rules (part 3)

class: center, middle, inverse, title-slide

# Derivative rules (part 3)
## Differential Calculus
### Arturo Sánchez González
### <a href="mailto:arturo.sanchez@upaep.mx" class="email">arturo.sanchez@upaep.mx</a>
### April 2021

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# Warming up (from previous session)
 **Find the derivative of the following functions.** 
.pull-left[
 `$$g(t) = -4t^{5}$$` 
]

.pull-right[
 `$$\ell(t) = 8\sqrt{t^{3}}$$` 
]

---

# Get ready
 **Find the derivative of the following function.** 
 `$$f(x) = -\frac{28}{3\sqrt[7]{x^{4}}}$$`

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# Working out
 **Find the derivative of the following functions.** 
 - `$f(x) = 6x^{6}$`

- `$g(x) = 7 x^{10}$`

- `$h(x) = \frac{35}{x^{5}}$`

---
# Dig deeper
 **Find the derivative of the following functions.**

.pull-left[
 `$$s(t) = \frac{6\sqrt{t^{3}}}{5}$$` 
]

.pull-right[
 `$$\ell(x) = -\frac{2}{5\sqrt[8]{x^{5}}}$$` 
]
---
# Stretching-out

**Find the derivative of the following functions.** 
 
 .pull-left[
 - `$s(t) = \frac{-8}{\sqrt[4]{t^{5}}}$`

- `$f(x) = \frac{3}{x^{5}}$` 
 ]

.pull-right[
 
 - `$\ell(t) = 765^{123}$`

- `$h(t) = 2\sqrt[4]{t^{3}}$` 
 ]