class: center, middle, inverse, title-slide # Derivative rules (part 2 bis) ## Differential Calculus ### Arturo Sánchez González ### <a href="mailto:arturo.sanchez@upaep.mx" class="email">arturo.sanchez@upaep.mx</a> ### April 2021 --- # Quick review <br/> <span style="font-size:30px"> Find the derivative of the following functions. <span/> .pull-left[ - <span style="font-size:35px"> `\(f(x) = 5\)` <span/> <br/> <br/> - <span style="font-size:35px"> `\(g(x)=x^{6}\)` <span/> ] .pull-right[ <span style="font-size:35px"> `\(h(x)=\)` <span/> <span style="font-size:35px;color:red"> `\(5\)` <span/> <span style="font-size:35px;color:blue"> `\(x^{6}\)` <span/> ] --- # More complicated examples <br/> <span style="font-size:30px"> Find the derivative of the following functions. <span/> .pull-left[ <span style="font-size:35px;color:darkred"> `\(s(t)= \frac{t^{3}}{9}\)` <span/> ] .pull-right[ <span style="font-size:35px;color:blue"> `\(\ell (t)= \frac{4t^{5}}{5}\)` <span/> ] --- #Dig deeper <br/> <span style="font-size:30px"> Find the derivative of the following function. <span/> <span style="font-size:35px;color:darkgreen"> `$$f(x)=\frac{3\sqrt[6]{x^{5}}}{4}$$` <span/>