Question

Find the gradient of the curve y=x^2 + 5x-3 at the point x= 2.
please help.
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Answer 1

The gradient of the curve at x = 2 is 9.

Step-by-step explanation:

Given that the 1st derivative of differentiation is gradient. So you have to differentiate the equation first :

`y = {x}^(2) + 5x - 3`

`(dy)/(dx) = 2x + 5`

Next, you have to substitute x = 2 into the differentiated form of equation :

`let \: x = 2`

`(dy)/(dx) = 2(2) + 5 = 4 + 5 = 9`