sin3x/(1+x^2)

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f(x)=x2-4x+3

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Show that there is no polynomial function that has a derivative of x^-1.

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how do you find the second derivative of y=e-x^2

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Suppose the annual cost per active-duty armed service member in a certain country increased from $80,000 in 1995 to $90,000 in 2000. In 1990, there were 2 million armed service personnel and this...

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After Lee gives his little sister Kara a big push on a swing, her horizontal position as a function of time is given by the equation x(t) = 3cost(e^-0.05t), where x(t) is her horizontaL displacement,...

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A differential equation is an equation involving a function and one or more of its derivatives. Determine whether the function y=πsinθ+2πcosθ is a solution to the differential equation d^2y/dθ^2...

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Air is being pumped into a spherical balloon. The volume, V, in cubic centimetres, of the balloon is V=4/3πr^3, where the radius, r, is in centimetres. a) Determine the...

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Determine equations for the tangents to the cubic function y=2x^3 -3x^2 -11x +8 at the point where y=2.

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A piece of plexiglass is in the shape of a semicircle with radius 2 m. Determine the dimensions of the rectangle with the greatest area that can be cut from the piece of plexiglass.

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Determine equations for two lines that pass through the point (1,-5) and are tangent to the graph of y=x^2-2.

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find the 1st and 2nd derivative

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how would I set the 1st and 2nd derivatives to zero and solve for x ?

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find 1st and 2nd derivative for x to the 2/3 * (2-x) = x to the 2/3 * (2-x) sorry I didn't clarify

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f(x)= (5x2 -7)(x2-2) / x2+6 find f ' (x) at x=5

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please answer, i dont understand how to go about this problem.

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1. Find the derivative f'(x). (a) f(x)=xexcosx (b) f(x)=secxtanx (c) f(x)=sinx/1+cosx 2. Let g(x) be a differentiable function such that g(0)=2 and g'(0)=3. (a)...