Question

Differentiate y =10(3x+1)(1-5x)?

Answer 1

`dy/dx=-300x-20`

Explanation:

`"the product rule could be used but can expand the factors"`
`"and differentiate using the "color(blue)"power rule"`

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

`y=10(1-2x-15x^2)=10-20x-150x^2`

`rArrdy/dx=-20-300x`