Question

4) Listen f(x)={

2−3x if x≤−1
5
​

if x>−1 is continuous 20
t
=−1
​
function rrue false

Answer 1

2.287 True

Explanation

Since the derivative at a point is the slope of the line tangent to the graph at that point, the calculator is used to solve f′(x)=0.1x+e^(0.25x)=2.

The derivative of a function f is given by f′(x)=0.1x+e^0.25x. At what value of x for x>0 does the line tangent to the graph of f at x have slope 2 ?

Since the derivative at a point is the slope of the line tangent to the graph at that point, the calculator is used to solve f′(x)=0.1x+e^(0.25x)=2.