Suppose that we have two functions, f(x) and g (x), and that f (5) = 3, g (5) = 6, f'(5) = -2, and g'(5) = 2. Calculate the values of the following derivatives when x is equal to 5. d dx d ● ● a. d. b. d.x d dr C. & (16) (5 (2²)) 12=5 (FG d f (x) f(x) + g(x) dx e. d dx d f. d.x d g. ·(f(x) + g(x)) |2=5 (ƒ (x) g(x)) |x=5 (xf (x)) |z=5 f(x) (5 (2²)) |2=5 = ((ƒ (x) g (x))²) |x=5 = |2=5 || II

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

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Q: Find the derivative. d. (In (9x? + 4)) dx di (In (9x? + 4)) =| dx

A: Solution:To find:ddx ln (9x2+4)=?Formula:ddx(log x)=1xddx(xn)=nxn-1

Q: Multiply and write the answer in the form of a + bi. (-9) (2-√√-25) O 18+45 i O 6+15/ O 15+6i O -18…

A: (-1)1/2  = i  (25)1/2 = 5  (a.b)1/2 = (a)1/2(b)1/2

Q: Use the appropriate differentiation rules to obtain the derivatives of each of the functions defined…

A: As per bartleby guidelines we solved only first three subpart and rest part can be reposted…

Q: Find the derivative of y with respect to x. y = In 6x? 12 O A. 2x В. x + 6 Oc. OD. 2x +6

A: The given function is- y=ln6x2 Differentiating y w.r.t. x- dydx=16x2×d6x2dx

Q: Find the derivative. y=(x2+x)-3 OA. dy 3x5 (2-x³) dx (1+x³)3 OB. dy_3x4 (2-x³) (1+x³)3 dx 5C 31 ...

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Q: The derivative of the given function is y = 2(32x)

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Q: C. Solve the following problem. 1.) Find (fg)' if f(4) = 3, f'(4) = 2 , g(4) = -6, and g'(4) = 8.…

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Q: 3) Find the following derivatives: a. y = 2x b. f(x) = 4x³10x² + 7x-15 c. g(x) = 3x(x² - 4)5 d. y =…

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Q: Find the first and second derivatives of the following function: g(t) = t°et g'(t) g" (t) =

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Q: f (x) = x³ + 4xª + 3x³ – x² + & 1. ,2 -

A: Since we are given with the multiple number of question and our guideline is solve first question…