Limits and Derivatives

Welcome to your Limits and Derivatives  MCQ practice assessment.

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What is the first derivative dy/dx of the expression (xy)^x=e.

If y=x/(x+1), find y’

Find the second derivative of y=2x+3(4x+2)^3 when x=1.

What is the derivative with respect to x of (x+1)^3 – x^3.

Find the point of inflection of the curve y=x^3-3x^2+6.

Find dy/dx by implicit differentiation at point (0,-2) if x^3-xy+y^2=4. a. ½

Find the derivative of y=x^x.

Find the slope of the ellipse x^2+4y^2-10x+16y+5=0 at the point where y=2+8^0.5 and x=7.

What is the slope of the tangent to y=(x^2+1)(x^3-4x) at (1,-6)?

Find the derivative of y=2^(4x).

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