351.60 would be the answer
The expressions which represents the slope of a tangent to the curve
at any point (x, y) are:

<h3>The slope of a tangent to the curve.</h3>
Mathematically, the slope of a tangent line to the curve is given by this equation:

Given the function:

When (x + h), we have:

Next, we would find the derivative of f(x):

Read more on slope of a tangent here: brainly.com/question/26015157
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Answer:
x = 9 or x = 0 or x = -2
Step-by-step explanation:
Solve for x:
3 x^3 - 21 x^2 - 54 x = 0
The left hand side factors into a product with four terms:
3 x (x - 9) (x + 2) = 0
Divide both sides by 3:
x (x - 9) (x + 2) = 0
Split into three equations:
x - 9 = 0 or x = 0 or x + 2 = 0
Add 9 to both sides:
x = 9 or x = 0 or x + 2 = 0
Subtract 2 from both sides:
Answer: x = 9 or x = 0 or x = -2