# How do you find the gradient of the tangent to the curve #y=x^3# at the given value of x=4?

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To find the gradient of the tangent to the curve y=x^3 at x=4, we need to find the derivative of the function y=x^3 and evaluate it at x=4. The derivative of y=x^3 is given by dy/dx = 3x^2. Evaluating this at x=4, we get dy/dx = 3(4)^2 = 48. Therefore, the gradient of the tangent to the curve y=x^3 at x=4 is 48.

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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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