Question

Find the slope, m, of the tangent to the curve y = 7 - 5x² - 2x³ at the point where x = a. m =

Answer 1

The slope of the tangent to the curve y = 7 - 5x² - 2x³ at the point x = a is -10a - 6a².

Step-by-step explanation:

The slope of the tangent to the curve y = 7 - 5x² - 2x³ at the point x = a can be found by taking the derivative of the function and evaluating it at x = a. Let's find the derivative first:

y' = -10x - 6x²

Now, substitute x = a into the derivative:

m = -10a - 6a²

So, the slope of the tangent at the point x = a is -10a - 6a².