18. r = [(2 tan³ 20) – 1)] 트

Q: Find the derivative of the following functions. De not simplify your answer. y- cos'c)

A: Given that: 1. f(x)=ex2cos3x   NOTE: As per our answering guidelines, we can only answer 1 question…

Q: Use forward-difference y = cot (x) at x = using a value of h = 2√2 7 O2(√2-2) म 00 2√/2 म formula to…

A: Given function is y=cotx. We have to evaluate the first derivative of  y=cotx at x=π2 and using a…

Q: Q5:- Find the first order derivative of each of the following functions: a) y = esin-ix + In (cosx)

A: Given: y=esin-1x+ln(cos-1x) We know that ,  1. ddxex=ex 2. ddxlnx=1x 3. ddxsin-1x=11-x2 4.…

Q: r(0) = tanh-1(cos 0) + cosh(0º)

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Q: Find the derivative of the trigonometric function.

A: To find: The derivative of ft=3·secπt-12. Concept used: Chain rule of derivative: f'gx=f'gx·g'x…

Q: Find the derivative of the functions. (Answer Five only ) xIne 1- y = In x 2 In 5 In 25 2- y =…

A: In this question we have to find the derivative of the functionwe

Q: 1. Find the derivative (dy/dx) of the following functions: a) xy = cot xy

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Q: Use the General Power Rule where appropriate to find the derivative of the following functions.

A: Given, st=cos 2t

Q: Find the derivative. Simplify where possible. y =x cot h(1 + x2)

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Q: 1 q(x) = cot-1 ( V1-πx2

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Q: (d) f(x)= arccot(VT)

A: Given F(x) = arccot(√x) and we find the derivative of this. We know that this function F(x) is a…

Q: a. y = f(x) = x' In(e?) %3D

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

Q: Find the derivative of the trigonometric function. f(t) = cos t/t

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Q: I Find the second derivative(y") of the following functions and simplify the final results. 1. y = x…

A: Some of the properties of derivative ddx(uv)=udvdx+vdudx ddxxn=nxn-1…

Q: y = cos (e*)

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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: Solve for the derivative of the following functions. Write your answer on a separate sheet of paper.…

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Q: 3. Find the derivative of each of the following functions. Justify your answer. (a) f(x)= (b) y e I…

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Q: A2) Find the derivative of the following functions: L tanz (d). g(z) 3 - secz

A: The given function is fx=tanx3-secxWe need to find the derivative of the function.Formulae to be…

Q: L Find the derivative..the following.vecter.Fimctrenss ?It).= ei +In(1+3t). k.. -1

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Q: What is the value of the derivative of y=sin(x)cos(x) when a = 2? Write the answer in exact form, an…

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Q: (a) Find the derivative, dy of the following function: da y= arccos( sin z) Show your work. You may…

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Q: Find the derivative of the following functions: b). ?(?)=2tan^−1(?)−7?

A: To find the derivative of  y(x)=2tan-1(x)-7x

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: Calculate the derivative of the following functions. y = cos4 u + sin4 u

A: We have to find the derivative of the function: y=cos4 u+sin4 u We know formula for derivative:…

Q: V(x) = In(sin(x) – cot(x))

A: The chain rule of differentiation is dydx=dydu×dudx. The given function is Vx=lnsinx−cotx.

Q: (c) y = e* sin 7x + In(cos(x)) (d) y= xarcsin x+ V1-x²

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Q: 21. f(x) = sin(ln r²) %3D

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Q: Find the derivative using the formula f'(x)= g'h + gh' 1. cos x cot x

A: Differentiation

Q: Find the derivative of the trigonometric function.

A: To Find: The derivative of ht=2cot2π t+2

Q: Find the derivative of the trigonometric function. h(t) = 2 cot2( t + 2)

A: h(t)=2cot2(t+2)Here we use the concept of chain rule. Formulas ddxxn=n xn-1ddxcot x=-csc2x

Q: Answer the following equations for fu the dereviative of (fg)(x) by using the differentiation o the…

A: We have to find the derivative of the following given function according to the given information

Q: Find the first derivative dy/dx of the following. Simplify. y = tan(x + y)

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Q: 3. Use the first derivative to find the location of all local extre ma for the following functions.…

A: Explanation of the answer is as follows

Q: Determine the derivative of the function f = log, | tan 5m + sec 5m| with respect to m. O cot (5m)…

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Q: f(x) = sinh(e3x² + 5)

A: We have to find

Q: 6. Take the derivative of the following function and simplify as a simple fraction which cos x does…

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Q: (b) Find the derivative of the following functions with respect to x . y? sin x+y = cotx (iii)

A: Using derivatives of implicit functions. As per our guidelines we are supposed to answer?️ only one…

Q: y = In (sin x²)

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Q: Find the derivative of the following functions. Show complete solutions, including trigonometrie…

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Q: 13. Find the derivative of the following functions and simplify the answer: 2x + V (a) I 9a2-8 e y =…

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Q: Find the derivative of each of the following functions. Do not simplify your answers. (a) g(x) =…

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Q: ind the second derivative (y") of the following function step-by-step and simplify the nal results:…

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Q: A) Find the derivative for the following functions: 1) y = log(x sinx) 2) y = tan(x') 3) y = (xstnx…

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Q: . f(w) = Arccosecant (1 + 4w) %3D

A: To find the first derivative of fw=Arccosecant1+4w

Q: Find the derivative of the following function. Do not simplify your answer. f(t) = cos" (3r + 4)!0)

A: Solve the following

Q: Find the derivative of the trigonometric function. Re) = e® sin(e) f (e) = -1

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Q: Find the derivatives of the functions q = cot (sin t/t)

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Q: I Find the second derivative(y") of the following functions and simplify the final result 1. y = x –…

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Q: 1. Find the derivative of the following: (Simplify your final answers.) r(8) = tanh-(cos 0) +…

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