PLEASE HELP OMG calculate the slope of the graph below at the point (-1,5) f(x) = x^5 + 1/x^3 +7

The slope of the graph at x=-1 is 2

Step-by-step explanation:

Instant rate of change

Given a real function f(x), the instant rate of change with respect to x is defined as the derivative of f which coincides with the instant value of the slope of the tangent line in the point (x,y).

We have the function:

Prepare the function to apply the power rule of the derivative:

Recall the power rule:

Also, the derivative of a constant is zero.

Taking the derivative:

Evaluating for x=-1:

The slope of the graph at x=-1 is 2