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Question 1 Find derivative of the following function f(x) = In(4e2x + 7) O f(x) -...
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) =
larcalc11 2.2.509 Find the derivative of the function. 8x2 - 4x + 7 f(x) = f'(x) =
7*). Using this definition, Derivative of a function f (x) can be expressed as f'(x) = lim ** find out the first order derivative (f'(x)) of the following functions: h 0 h f(x) = 2x2 + 4 f(x) = 2x (4 points) (4 points)
Problem 7 Find the derivative of the function f(x) = x34tan x ** 3x - 4
Suppose f(x, y) = x2 + y2. Find the directional derivative of the function f at the point P(1, -1) in the direction of 7 = -31 + 4. That is, find Dif(1,-1). 5 14 O 14 5 O 14 5 O 5 14
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?
allowed time frame. Question 11 4 pts Find the derivative of the function. x3 f(x) = In X X3 O 3x2 x3-2 O 3x2-1 x(x3 - 2) O 2x3 + 2 x(x3 - 2)
Find the derivative of the following function. f(x) = (2x - 3)(3x4 +7x) f'(x) = 2(3x4 + 7x)+(2x - 3)(12x3 +7) f'(x) = 2 + (12x3 + 7) f'(x) = 2(12x3 + 7) f'(x) = 2(3x4 +7x) – (2x - 3)(12x3 + 7)
Question 12 Find the derivative of the function f(x)= (in(cox) + sinº(x))2. • f'(x) = 12(In(cox) + sin?(x)) (3sin?x cosx – tanx) • f'(x) = 12(In(cox) + sin?(x))+(3sinx cos?x - tanx) o f'(x) = 12(In(cox) + sin(x))(3sinx cosx + tanx) o f'(x) = 12(In(cox) + sin}(x))^2(3sin?x cosx + tanx) A Moving to another question will save this response.
Find the derivative of the function at the given number. f(x) = x2 - 8 at 0 f(0) = [-/1 Points] DETAILS SULLIVANCALC2 2.1.027. Find the derivative of the function at the given number. f(x) = x at 25 f'(25) [-/1 Points] DETAILS SULLIVANCALC2 2.2.053. Find the derivative of the function. 2 f(x) x² f'(x) =