Find the equations of a)The tangent
b)The normal
to the curve y=2x^3 - x^2 + 4x - 7 at the point where x = 1.

Given, equation of curve is

To find the intersection of given curve with X-axis, Put y = 0 in equation 1, we get,

x − 7 = 0 ⟹ x = 7

Thus, the curve cut the X-axis at (7,0).

Now, on differentiating equation of curve w.r.t. x, we get,

Next answer is in pic.

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step-by-step explanation:

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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