The strength of a patient's reaction to a dose of x milligrams of a certain drug is R(x) = 8x16 + 0.5x for 0 sxs 140. The derivative R'(x) is called the sensitivity to the drug. Find R'(40), the sensitivity to a dose of 40 mg. R'(40) =

Q: Find g'(x) for the given function. g(x) = V3x g'(x) = %3D

A: We need to find the derivative of gx=3x

Q: Find f'(x). f(x) = e Vx- VX-12 f'(x) =|

A: The given function is fx=ex-12.

Q: for S(x)=200((2x+1)/(3x+4))^0.5 Find the rate at which the S changes with respect to x

A:

Q: Find the indicated derivative and simplify. f'(x) for f(x) = x²-5 f'(x) = ]

A: Please see the explanation below

Q: For the function f(x) = Vx + 81 , find f''(x). Then find f''(0) and f''(5). %3D To find f'(x), first…

A:

Q: B6. Express + ar

A: Given

Q: Given "(1) = 9x + 2 (1),.. and f'(0) = - 5 and f(0) = Find f'(x) = und find f(3) =

A:

Q: How can one determine the average rate of change of g(x) = mx+ b over the interval x1 SxSx, without…

A: The equation of a straight line is defined using the linear equation, y=mx+b, where m is the slope…

Q: Find the derivative of the function. f(x) = 5x4 - x6 f'(x) = %3D

A: The given function is                                   f(x)=5x4-x6 Now we find the derivative of…

Q: What is the instantaneous rate of change of the function f ( x ) = 5 /x  at x = 3 ?

A: Given,        The instantaneous rate of change of the function fx=5x at x=3.We know that,…

Q: Let f(x) = g(x) / h(x) and consider the following values: g(14) = 4, h(14) = 4, g'(14) = 5, f '(14)…

A: Given: fx=gxhx        -(1) Also, g14=4h14=4g'14=5f'14=1 Now, putting the value of g(14) and h(14) in…