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 …

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

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

So, we turn to finding the absolute extrema on [2,9]. Absolute extrema occur at endpoints of the domain or at local extrema, that is points where the function changes direction. Local extrema …

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

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 …

Mar 28, 2016 · The concavity and convexity of a function are determined by the sign (positive or negative) of a function's second derivative. Hence, to determine when a specific function is …

The linear function y=30x+25 represents the total weight y (in pounds) of the wagon and its contents after you have loaded x blocks? What is the derivative of ln(x2 +1 2x)? What are the …

2. The derivative of a function at a certain point gives the slope of the line tangent to that point. First, we will equat #f (x)# and #y# to simply the notation.

May 4, 2016 · How do you use the definition of a derivative to find the derivative of #f (x)= (x-6)^ (2/3)#, at c=6?