2.2. DERIVATIVES 23 23. If f and g are two functions for which f' = g and g = f for all r, then prove that f2-g² must be a constant. %3D

Q: 20. The fourth derivative of y = Jx -1 is 8 D.-은(x-1) 2 16 15 A. -(x – 1) В.- С.- 8. (X - 16 M| 00

A: This question is related to differentiation, we will use basic differention rules and results to…

Q: 5. Find the first and second derivatives of y if y is a function of r defined implicitly by x* + y*…

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Q: 1. Find the slope of the line tangent to the function f(x) = 7 ln(x) – 6x at the point (1, -6). %3D…

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Q: 21. Suppose that functions f and g and their first derivatives have the following values at x = -1…

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Q: 7. If y = 6e, then y' = 30e*. The derivative of a product will never be equal to the product of…

A: Given,  f''(c)=0  On integrating both sides, ∫f''(c)=∫0 dc ⇒f'(c)=0 Where 'c' is a real number

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Q: 1) Find First. three derivative of F(x) at x.2.2 f(x) : 16 40 S2 -2 Ans: f= 19.5 f" = 13.2 f"- 6.

A: Hi! Thank you for the question As per the honor code, We’ll answer the first question since the…

Q: 1. Find the first derivative of y with respect to x (y') of the given function 1. x'y-xy? +x? +y? =…

A: As per guidelines we have to solve one question

Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: у (4) %— Зх3 8 e x7

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Q: 1 dt. o t4 +5 Let f(x) = Find the derivative f'(x). none of the choices ex e2x

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Q: 1. Find the derivative of the following using implicit differentiation. BARZA c. y = sec(x + y) TYON…

A: The implicit function is of the form f(x,y)=0 in implicit differentiation y is a derivative of dydx…

Q: 10. Iff(x) = Vx find f (4). 11. Use the limit definition to find the derivative of f(x) = x² –2 x.…

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Q: 4. Compute the derivatives of the following functions by using chain ru Describe your steps in…

A: Given: We need to find, ∂f∂w by using a) f(z)=exp-12zz=yTS-1yy=w-μ b) f(w)=tr(wwT+σ2IDxD) c)…

Q: B) Find the derivatives of the following functions: (for only 6) 5) y- In ( sin' 0) 6) y = log:() 7)…

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Q: 7. If y 6e5, then y' = 30e*. The derivative of a product will never be equal to the product of…

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Q: Nhich of the following is the derivative of the function g(z) = 2? Og°(2) = 5 5e²+5z-e² g’ ( z (e-)?…

A: Given,  gz = 5zez  We have to find the derivative of the function gz = 5zez

Q: 16. Find the directions in which the function f(x,y)=x² +xy+ y² increase and decrease most rapidly…

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Q: 12) Select an appropriate graph of a twice-differentiable function y f(x) that passes through the…

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Q: 1. Find the derivative of the functions, do NOT simplify. a. y = In(8 – 3x) | b. y = ln /2.x + 1 3a2…

A: We have to pick the most challenging formula among differential formulas and solve it.

Q: 2.6 The Chain Rule: If y= f(u); u= g(x), and the derivatives and both exist then the du dx composite…

A: Given y=f(u) and u=g(x) and dydu and dudx both exist.

Q: 1.4 1.7 2.0 f' (x) -8 The table above gives values of f', the derivative of the function ƒ, for…

A: Euler's method Here t0 = 2, t1 = 1.7, t2 = 1.4 y1 = y0 + y'0 (t1-t0) At t0 = 2 y1 = 6 + 3×(1.7 - 2)…

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: 1. Find the value of a and b that make f continuous everywhere x² –4 x-2 x 3 2. Prove that the…

A: I solved question 1 Please like Thank you

Q: 1. Find the derivative of the following functions. (find y') a. у %3DIn(cos(20)) b. cos(xy) = x - y…

A: Since you have posted a question with multiple subparts, we will solve first three subparts for you.…

Q: Find the indicated derivatives for #'s 1-6: 1. y'for y = 4In x 2. f'(x)for f(x) = In x³. 3. a. f'(x)…

A: As per guideline we have to solve three question

Q: 1.4.1 Find the derivative of the following functions. a) f(8) = log3(cot 0) + esin 0 cos 0 Vtan r b)…

A: (a) Given information: fθ=log3cotθ+esinθcosθ We know that logab=lnblna Therefore we can write,…

Q: 4. Find the second derivative for the following function a) )* 22 y3(x+ (an b) f(x)=/2x + at x= 2 c)…

A: See the attachment

Q: 59. Suppose that functions f and g and their derivatives with respect to x have the following values…

A: Since you have posted multiple questions i can do first question with first three subparts as per…

Q: Find the function with the derivative f' (x) = 3 e ^5x whose graph passes through the point…

A: The function passing through the point P = f(x)=

Q: n (2) Find the derivative of the function f(x)= e at 2= 2 by using numerical affronsmation for the…

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Q: 6. Suppose that the functions f and g and their first derivatives with respect to x have the…

A: a) fxg2x , x=1b) fx2+gx, x=0c) fx+gx, x=0

Q: 1. Find the derivative of each of the following functions. Do not just write down the answers but do…

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Q: 2. Find the derivatives of the following functions as specified: a. h (2) = (9z +4), b. g (x) = (æ²…

A: I am attaching image so that you understand each and every step.

Q: 1. Find the derivative of the following (a) f(x) = log-(r* +2) + 7** (b) k(r) = In(x) + 5e¯ (c) j(z)…

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Q: 5 Find 은 for y= |(*+2)°dt Choose the correct derivative below. O A. 원-40 (x*+2)기| 5 O B. - (* +2)*…

A: Given:y=∫0x t4+28 dt5

Q: 6. 7. 8. Determine the derivative of the curve with equation y = 4²x a) 4²x ln4 b) 42x In2 c) 4* In2…

A: We have to find out derivative

Q: 3. sin 2m 5. 17 20 M(x) KER 27 (2x+ 1)m 2m sin 10 * 17 xS 13 11(2x 20 37 33 7. 13 <xS 24 where M(x)…

A: According to our policy, we solve only the first three subdivisions. For the remaining subdivision,…

Q: Q.5 Show that both of the functions f(x)=(x-1)" and g(x)=x' – 3x +3x-2 have stationary points at x =…

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Q: 2. The function f(x) is discretized using an equidistant grid with step h. It is known that f(0) =…

A: Given: f0 =1; fh = 2; f2h = 1f''h = -2. To find: h using central difference method. We know: f''h =…

Q: (a) calculate the first derivative at r = 9.00 (b) calculate the second derivative at r = 9.00 (c)…

A: Since we only answer up to 3 sub-parts, we’ll answer the first 3. Please resubmit the question and…

Q: 4+ 9e Use the Quotient Rule to determine the derivative of the function w(s) 7e + 8

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Q: 11. 5 4 Determine the derivative of y=x° – x* + 6. - Enter your next step here dy ab a + JT 00 () dx…

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Q: 9. The derivative of the graph x+y² D5 with respect to time is c-2y+ 20 C. a. y +x d. -y 2x +2y

A: Q 9 Given that: The graph: x2+y2=25

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given that, the function f = xy2(z3 - 1) We need to find that  g(x, y, z) =  ∂f∂x + ∂f∂y + ∂f∂z

Q: Can you help step by step please?

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