Question

Find the derivative of y=(2x-7)^3

Answer 1

To find the derivative of y=(2x-7)^3, use the power rule and chain rule. Differentiate each term individually and apply the chain rule. Add all the terms together to get the derivative.

Step-by-step explanation:

To find the derivative of y=(2x-7)^3, we can use the chain rule. First, we can rewrite the equation using the power rule: y = (2x - 7)(2x - 7)(2x - 7). Next, we differentiate each term individually using the power rule and then apply the chain rule. The derivative of the first term will be 2(2x - 7)(2), the derivative of the second term will be 2(2x - 7)(2), and the derivative of the third term will be 2(2x - 7)(2). Finally, we add all these terms together to get the derivative of the original equation.

Answer 2

The derivative of :
y = ( 2 x - 7 )³ - we will use the chain rule :
y = u³
y` = 3 u² · u`
y` = 3 ( 2 x - 7 )² · ( 2 x - 7 ) `
y ` = 3 ( 2 x - 7 )² · 2
y ` = 6 ( 2 x - 7 )²