Answer:

Explanation:
Differentiation is an algebraic process that finds the gradient of a curve.
At a point, the gradient of a curve is the same as the gradient of the tangent line to the curve at that point.
Given function:

Differentiate the given function using the product rule.

Identify u and v and differentiate them with respect to x:


Put everything into the product rule formula:

Given:


To find the gradient of the curve at x = -1, substitute x = -1 into the differentiated function:

Therefore, the gradient of the curve at x = -1 is 9.

Therefore, the point on the function is (-1, -5).
Substitute the found gradient and the point into the point-slope form of a linear equation:

Therefore, the equation of the line tangent to the graph of g at the point where x = -1 is:
