Question

Find the gradient of the tangent to the graph:
y = 3x^2 – 7x – 5
at (2, - 7)

Answer 1

Explanation:

Take the derivative of this function using the power rule

`(d)/(dx) ( {x}^(n) ) = nx {}^(n - 1)`

Since the terms are serpated using addition or subtraction we can take the derivative of this function separately

So our derivative end up becoming

`6x - 7`

Plug in x=2

`6(2) - 7 = 5`

So the gradient of the tangent line at 2,-7 is 5