Finding the first and second derivative.

Related BrainMass Solutions

• Question About Finding Second Derivatives

  Find the second derivative of f(x) = x4 + 4x3 + x2 + 6x - 1 Let y =f(x)= x4 + 4x3 + x2 + 6x - 1 First derivative = 4x3+12x2+2x+6 Second derivative = 12x2+24 x+2 Using A second derivative is found.

• 14 Derivative Problems : Product Rule, Quotient Rule, Chain Rule, First and Second Derivative and Finding Maximum or Minimum

  Fourteen derivative problems are solved regarding Product Rule, Quotient Rule, Chain Rule, First and Second Derivative and Finding Maximum or Minimum. The solution is detailed and well presented.

• Differentiation: Finding the Derivative

  This is the derivative of the first them. Thus f'(x)=2sinxcosx-sinx=sinx(2cosx-1). The solution assists with showing the steps to finding the derivative.

• Critical points

  This provides an example of finding concavity, inflection points, maximum and minimum values, and using the first and second derivative tests.

• Finding the Second Derivative of a Function

  We just look at the numerator For the numerator , if you take out the common factor , then the first term becomes , and the second term is .

• Finding critical points of a function z=f(x,y)

  To verify this use the second derivative test. zxx = 6x zyy = 6y zxy = 0 the second derivative test descriminant is D = zxx zxx - z2xy 1. If D > 0 and zxx > 0 the point is a relative min 2.

• Optimal Solution to Maximum Height Problem using Derivative

  b. when t=3.5, maximum of h is -16*3.5^2+112*3.5+20=216 The solution gives detailed steps on finding the maximum height for a specific example using first derivative test.

• Explanation of how to find the tangent line to a circle

  First, find an equation for the area of the triangle. Second, find the critical numbers of that equation. Third, use the first or second derivative test to find which critical numbers yield a max.

• Finding Derivatives Descriptions

  56842 Finding Derivatives Descriptions (See attached file for full problem description with proper equations) --- First: solve these problems. Second: check my answers (they're not simplified).