Ünite Sınavı Soruları

Find the 3rd derivative of f(x)=x³+lnx. (f'''(x)=?)

For the function , find the second derivative 

What is the largest possible area of a rectangle if its perimeter is 80?

The position of a particle moving along the x-axis at time t is given by f(t) = 3t² -2t (metre). Find the average velocity over the interval [4, 6]

Given function , find the second derivative 

Which of the statements given is true for the local extreme points of the function  x³ + 2x² - 4x ?

What is the second derivative of the function f(x)=e^3x ?

What is the slope of the tangent line to the curve y=x³ at point (-1, -1)?

A rectangular land plot has a perimeter of 200 metres. What is the possible largest are of this land plot in squaremeters?

What is the slope of the tangent line to the function f(x)=x²+3x at point x=2?