Find all the antiderivatives of the following function. Check your work by taking the derivative. f(x)...
Find all the antiderivatives of the following function. Check your work by taking the derivative. H(z) = - 7 - 8
Find the derivative of the function. f(x) = (ln(x + 5)) f'(c) = Preview Find the derivative of the function. f(t) = ť(In(t))? f'(t) = Preview If f(a) = 8 ln(4x), find a. f b. Rounded to the nearest whole number: f(e) c. Rounded to the nearest whole number: f'(e) = d. sing your results for f(e) and f'(e), find the equation fo the line tangent to the curve f(x) at the point (e, f(e)). Round decimals to the nearest...
Find the derivative of the function. F(x) = (x4 + 3x2 - 2) F'(x) F(x) = Find the derivative of the function. f(x) = (3 + x)2/ f'(x) = Find the derivative of the function. g(t) = 7+4 + 4)5 g'(t) =
11. a) Find the derivative of f(x) by using the definition of derivative: lim f(x+4x) - f (x ) Ax0 Ar f(x) = 4x² +8 Make sure you show all your work clearly and neatly!!! If steps are not clearly written you will not receive any credit. (9 points) f'(x) = b) Check your answer from part (a) by finding the derivative of f(x) = 4x² +8. (1 pts) f'(x)= c) What is the instantaneous rate of change of the...
Using the definition of the derivative, find f'(x) for the following function. 3. f(x) = x2 + x - 1 the definition of the derivative f'(x) = lim f(x+h)-f(x) h h-0 What is the slope of tangent line to this curve at x = -1?
)and second derivative 4. (a) A function f has first derivative f'(x) f(E) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0, Q) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative [3 marks] (ii) Use the f(x), and the First Derivative Test to classify each critical point.[3 marks] (ii) Use the second derivative to examine the concavity...
(a) A function / has first derivative f'(z) = and second derivative 3) f"(x) It is also known that the function f has r-intercept at (-3,0), and a y-intercept at (0,0) (i) Find all critical points, and use them to identify the intervals over which you will examine the behaviour of the first derivative ii) Use the f'(), and the First Derivative Test to classify each critical point. (ii) Use the second derivative to examine the concavity around critical points...
Find the indicated derivative for the given function. f"(x) for f(x) = e = x2 {"(x) =
Find the derivative of the following function. f(0) = 3 + 9x2 - 10.4 Find the derivative of the following function. f(0) = (In c)e. Find the derivative of the following function. f(0) = 2+2
Find the following derivative. Assume that f is a function of x, and a, b and k are constants. la Ve + beſsin(kx)) -