5. Below is a graph of the curve y = 4x 3 cos.x: 10T -10 10 -5 -10 Your friend claims that the slope of the tangent line to the curve at x = 4 is the negative of the slope of the tangent line to the curve at x = -4. Prove mathematically whether your friend is right or wrong. Is the slope of the tangent line to the curve at x = a the negative of the slope of the tangent line to the curve at x = -a for any other values of a? Explain.

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