Find the derivative. r = 20 - 04 cos 0 dr = 40° cos e - oª sin 0 OP dr = 403 sin e - 0ª cos 0 de O dr 403 sin e de dr - 403 cos 0 + 0ª sin 0 = - de

Q: 13. s = cos* (1 – 2t) 14. s = cot t

A: differentiate both sides with respect to t and solve the question.

Q: 2.Evaluate the derivative shown below. Do not transform the given and do not simplify_the final…

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Q: 1 R(t) = 2 sin(t) – 4 cos(1)

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Q: Directions: Find the derivative of the following functions: 1. y = sec 5x 2. y = 4 cot u 3. y = cos…

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Q: Find the first and second derivatives of the function. g(t) = 2 cos t - 3sin t

A: We find the first derivative

Q: 5. Find the following derivatives. Simplify and factor if possible. 1+ sin x (a) f(x) = ln(x* sin?…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: Ql:a) Find the function? y = h(x) -1 3. b)Find the derivative of the function x cos (2x + 3y) = y…

A: We have to find the function from graph and also we have to find derivative of function

Q: find the first and the second derivative of these equation , first as a function of z then as a…

A: Given: Since you have asked multiple question, we will solve the first question for you. If youwant…

Q: Find the derivative of the function. f(t) = 2t sin(?t)

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Q: 4. Find the derivatives of the following functions. Do not simplify your answer! d (a) sec r dr Vr…

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Q: Find the derivative of the function. y = cot?(sin(8)) - 2 cot(sin (0)) [cos ec°(sin(0))]-co s(0) COs

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Q: d the derivative of f. (x) = tan? x ich is the correct answer? x) = 2 tan x sec x) = -2 tan x seo? x…

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Q: Which of the following is the derivative of the given function y? sin 8 1+ cos 1+ cos 8 sin 8 y = 2…

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Q: Determine the number(s), x, between 0 and 2T where the line tangent to the function f(x) = 5 3…

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Q: Find the derivative of the function at Po in the direction of A. f(x,y) = - 2xy + 2y, Po(9,2), A=…

A: Directional Derivatives.

Q: Find the derivatives of the following functions. d r? +3 (a) dr VTI +1 d (b) [a3 sin(5.x) tan x] da…

A: As per the company guidelines we are supposed to answer only first 3 subparts.Kindly repost the…

Q: QUESTION 11 Find the derivative of the function at the given point in the direction of A. f(x, y) =…

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Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative af /ðr if f = x2 + y2

A: Given: f=1x2+y2, x=rcosθ, y=rsinθ For finding derivative of given expression with respect to r,…

Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy x -y xy…

A: Topic = Derivative

Q: w. Determine the fourth derivative of f (w) = 7sin() + cos (1 – 2w)

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Q: 2. Find the derivatives of the following functions (a) i(x) = sin r cos r (b) j(x) = r*e*² %3D (c)…

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Q: following functions: ?(?)=sin(?)cos(?)f(x)=sin⁡(x)cos⁡(x) ?(?)=?sin(?)g(x)=xsin⁡(x)  Find the…

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Q: Find the derivatives of the following. Simplify your final answers. c) h(t) = sin² (esin )+ cos"…

A: Given: The expression is ht=sin2esin2t+cos-12t3-5. To find: Derivative of the given expression.…

Q: (a). Find the derivatives for each of the following functions (i). y = sin(2x + 3). In 3r (ii). y :…

A: According to our guidelines, we can answer only one question other questions can be reposted.

Q: Find the derivative of the following functions. (Do not simplify your answer after you evaluate the…

A: To find the derivative of the following functions.Gx=∫x3x costlnt+2 sect dtHx=∫ex1 t2 cott dt

Q: Find the derivative. r14-0 cos 0 dr Oae = 88 sin 0 - 08 cos 8 dr = 88 sin @ de 897 897 88 cos e+ 0…

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Q: 3) Find the derivatives of the following functions. Do not simplify your answer! d 3+ sec z d…

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Q: 1. The first derivative of the following function is: a. b. C. d. csc²(xy)+1 x csc²(xy)+1 xy y -y xy…

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Q: Find the derivative of the function. F(t) = e3t sin(2t)

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Q: Find all possible functions with the given derivative. y' = csc? 30 Select one: A.1 csc 30 + C 6 3…

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Q: Which of the following equations is 1011th derivative of h(x) = -5 cos x ? Oh(1011)(x) = -5 sin…

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Q: O Find the derivative of the following functions: L 2+3 (a). f(z) = 2-3 (b). f(z) = 2 tan (z) – 7…

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

Q: The Newton forward and backward formula can be used to obtained a formula for the numerical…

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Q: (a). Find the derivative of f(x) = 4 sin x + x² cos x. (2 Marks) %3D (b). The position of a particle…

A: Follow the steps.

Q: Find the derivatives of the functions s = 4/3πsin 3t + 4/5πcos 5t

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Q: a) Find the derivative of the following functions: i) f(x) = x Inx ii) f(x) = iii) f(x) = 1 4* iv)…

A: Solution:-

Q: 15. Find the derivatives of the following functions: (a) = 20 sin 15x; (b) - tan' x: (c)-" c cos x…

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Q: Question 8 Find the derivative of the function at Po in the direction of f(x, y) = 3x 2 + 4y, P o(8,…

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Q: 3) Find the derivatives of the following functions. Do not simplify your answer! d 3+ sec I d (b) -…

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Q: 13. We know that x = r cos 0 and y = r sin 0, then find the derivative ðf /ər if f = x² + y?

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Q: The directional derivative of the function = x? - xyz + y at the point (1, 2, -1) in the direction…

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Q: 3. Use implicit differentiation to find the derivatives of the following equations a. (3ry + 7)? =…

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Q: Find the derivative of the inverse trigonometric function * cos' x B. y' =; C. y' = 3x2 A. y'=: V1-x…

A: Note:As per our guidelines we are supposed to answer only one question if there are multiple…

Q: 51. The horizontal range R of a projectile launched from ground level at an angle e and initial…

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Q: 3. Find the derivatives of the following functions. Do not simplify your answer! d r2 +3 (a) dx VTx…

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Q: the derivative of z=q⋅e^(cosq) dz/dq=

A: ans.                        z = q.e(cosq)            find derinative.                           dzdq…

Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 19 tan-1 (); Р(-20, 20);…

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Q: Find the requested higher-order derivative for the given function. d'y of y = 6 cos(x) dæ3 Preview…

A: You need to know the formula of differentiation of trigonometric functions.