Question

How do you find the derivative of `y= 20x^(1/4) - 3x^(3/5) - 2e^x`?

Answer 1

`dy/dx=5x^(-3/4)-9/5x^(-2/5)-2e^x`

Explanation:

`"differentiate using the "color(blue)"power rule"`

`•color(white)(x)d/dx(ax^n)=nax^(n-1)`

`rArrdy/dx=5x^((1/4-4/4))-9/5x^((3/5-5/5))-2e^x`

`color(white)(rArrdy/dx)=5x^(-3/4)-9/5x^(-2/5)-2e^x`