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