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1.
Find the slope of the tangent to the curve y = x4 – 2x2 + 8 through point (2, 16).
2.
Find the slope of the tangent to the curve y2 = 3x2 + 4 through point (-2, 4)
3.
Given the function f(x) = x3 – 5x + 2, find the value of the first derivative at x = 2, f’ (2).
4.
Given the function f(x) = x to the 3rd power – 6x + 2, find the value of the first derivative at x = 2, f’(2)
5.
Find the partial derivatives with respect to x of the function: xy2 – 5y + 6.