Question

let f be the function given by f(x)=x⁴ + 1/2x³- 5x² tan(x/2). of the following values of x, at which does the line tangent to the graph of f have the greatest slope? (A) x = -2 (B) = -1 (C) = 0 (D) x=1

Answer 1

f(1)=4.9 The line tangent to the graph of

�

f has the greatest slope at

�

=

1

x=1 (Option D) because

�

′

(

1

)

f

′

(1) has the highest value among the given options.