The absolute extrema of a function are the largest and smallest y-values of the function on a given domain. This domain may be given to us (as in this problem) or it might be the domain of the …

Jan 15, 2016 · To find the second derivative of the function, first simplify #f (x)#.

Explanation: The concavity of a function can be determined through the second derivative; a positive value indicates it is concave at that point (curving upward), and a negative value …

Explanation: We identify that this function requires the use of the quotient rule multiple times to find the equation for the tangent line.

Questions How do you determine the concavity of a quadratic function? How do you find the concavity of a rational function? What is the concavity of a linear function? What x values is …

Local Maxima at x = 0; Local Minima at x = -1; Local Minima at x = +1 Important Note : We can use the " Second Derivative Test " to find the " Extremas " of a function. The Second …

This means that is may be a point of inflection. We can check a graph of the function: graph {-5x^5-2x^4-2x^3+14x-17 [-2.5, 2.5, -120, 100]} Graphically, x=0 does appear to be a point of …

y=1 1. Find the derivative of the function using the quotient rule: dy/dx = ( (1+cosx) (cosx)- (sinx) (1-sinx))/ (1+cosx)^2 2. Find the instantaneous rate of change of the tangent line at the point …

We know this by looking at the second derivative, which tells us about the concavity/shape of the graph. When looking for the concavity of a function, it's best to find the second derivative, f'' …

g' (t)= 3^t ln3 + 3*4^t ln41 Answer bp Jul 22, 2015 g' (t)= #3^t ln3 + 3*4^t ln4# Answer link You can reuse this answer