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Question

Find the gradient of the curve y=x2−4xy = x^2 - 4x at the point where x=5x = 5

Verified Answer

6

Explanation & Step-by-Step Solving

Context: Differentiate the curve equation to find the general gradient function: dydx=2x−4\frac{dy}{dx} = 2x - 4. Now substitute the target point coordinate x=5x = 5:Gradient=2(5)−4=10−4=6\text{Gradient} = 2(5) - 4 = 10 - 4 = 6

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