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What is the gradient of the line 𝑦=𝑥2−13?

Question

What is the gradient of the line 𝑦=𝑥2−13?

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Solution

The gradient of a line is given by the derivative of the function. The function in this case is y = x^2 - 13.

Step 1: Identify the function The function is y = x^2 - 13.

Step 2: Differentiate the function The derivative of x^2 is 2x and the derivative of a constant is 0. So, the derivative of the function y = x^2 - 13 is 2x.

Therefore, the gradient of the line y = x^2 - 13 is 2x.

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