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,...
how do you find the second derivative of y=e-x^2
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...
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...
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.
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...
Show that there is no polynomial function that has a derivative of x^-1.
Determine equations for the tangents to the cubic function y=2x^3 -3x^2 -11x +8 at the point where y=2.
Determine equations for two lines that pass through the point (1,-5) and are tangent to the graph of y=x^2-2.
A video describing the steps of logarithmic differentiation with an example.
Review how to take the derivative of logarithmic functions. The sample problem is taken from IB Math SL, Section 23C. Recorded November 2013.
how would I set the 1st and 2nd derivatives to zero and solve for x ?
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
find the 1st and 2nd derivative
please answer, i dont understand how to go about this problem.
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)...
f(x)= (5x2 -7)(x2-2) / x2+6 find f ' (x) at x=5
List of Derivatives Simple Functions Proof Exponential and Logarithmic Functions Proof Proof Proof Trigonometric Functions Proof Proof Proof Proof Proof Proof Inverse Trigonometric Functions Proof Proof Proof Proof Proof Proof... read more