Grade 12 Calculus question?

Question

Determine the slope of the tangent to each curve at the given value of x.

a) y = 1 / (x+2), x = 3

Answer 1

Step 1 :

(a)

The function is .

The slope of the tangent line is equal of the derivative of the function.

Differentiate the function with respect to . 

Apply power rule of derivatives : .

At , .

The slope of the tangent to the curve at is .

Solution :

(a) The slope of the tangent to the curve at is .