Ünite Sınavı Soruları

A particle moves along the x-axis in such a way that its position at time t is . Find the average velocity over the interval [1, 3].

For the function

, find the derivative

at the point x=0.

A car moves along a road in such a way that its position at time t is f(t) = t³ + t² + t (metre). What is the average velocity over the interval [1, 5] equal to?

Which one can be said true for derivatives?

Given function f(x) = (x+1)(3-x), find the local maximum value for this function

Given the function f(x)=ln(2x),  find the second derivative at the point x=3.

For which values of x does the function f(x)=0.5x⁴-4x² has extremum values?

For the function f(x)=x²-4x+12 which of the followings is correct?

Which of the following is an extreme point for the function f(x)=x³-4x?

What is the equation for the tangent line to the function f(x)=x²-2x+1 at point (2,1)?

Which of the following is the slope of the graph of y=x²+7x-8 at the point (2,10)?

For the function f(x) = 2x³ + 3x² + 5x what is the sum of f'(2) and f(1) equal to?

Find the second derivative of f(x)=2x³+(1/x)

The motion of a particle is given by the function f(t) = 2t²–4t+3. Find its velocity at the instant t = 3.

At which (x,y) point is the value of the function

y=f(x)=x²-6x+5 is minimum?

For the function f(x)=-x²+13x-27 find the derivative at the point x=5.

For the function , find the derivative  at the point x = 2.

At which point on the graph of the function y = x² - 6x – 1 the slope is zero?

For the function, find the derivative f'(x), at the point x=0?