How do you find the points where the graph of the function #y = 9 + 9x# has horizontal tangents?

Answer 1

There are no such points.

#y=9+9x#
You can see that this is a straight line of the form #y=mx+c# so no calculus is needed. It is a straight line of gradient 9 and intercept 9:

graph{9+9x [-10, 10, -5, 5]}

There can be no horizontal tangents.

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Answer 2

To find the points where the graph of the function y = 9 + 9x has horizontal tangents, we need to determine the values of x that make the derivative of the function equal to zero.

The derivative of y = 9 + 9x is given by dy/dx = 9.

Setting dy/dx equal to zero, we have 9 = 0.

Since 9 is never equal to zero, there are no points where the graph of the function y = 9 + 9x has horizontal tangents.

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Answer from HIX Tutor

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

When evaluating a one-sided limit, you need to be careful when a quantity is approaching zero since its sign is different depending on which way it is approaching zero from. Let us look at some examples.

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