Find the derivatives of the following function. sin (ax +b) (cx +d) Cos

Q: Find the derivatives of the following functions. g(x) = x² cos(x).

A: The solution is given below in the next step:

Q: Use the rules of differentiation to find the derivative of the function

A: We have the given function as gα=4cosα+6       ⋯⋯1 As we know that, from the rule of differentiation…

Q: Evaluate the derivatives of the following functions.

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Q: Evaluate the derivatives of the following functions

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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: у?x3 — 7х %3D ysin(x + у)

A: The given equation is y2x3 - 7x = y sin(x+y) f(x,y) = y2x3 - 7x - y. sin(x+y)

Q: Determine the derivative of the following functions. Show your complete solutions and simplify the…

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Q: Obtain the derivatives of the following functions f(x) and enter your answers as functions of æ in…

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Q: 2xy + y2e3x = 1

A: Given 2xy+y2e3x=1 To find the derivative use the product rule of derivatives

Q: Q1 Find the derivative of the following function : a) f(r) = cos(r + T) – tan(2r) b) f(r)= e- sin z

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Q: 1. Find the derivative of the following trigonometric functions a) y = x sin(x) + cos(x) b) y =…

A: Given the trigonometric function

Q: b. Find the first and second order derivatives of the following function: In(Tx) y = sin(Tx + 3) *…

A: Given Function is, y=sinTx+3eTx+ln(Tx)Tx2 Differentiating above equation with respect to x,…

Q: Find the derivatives of the following functions; (a) f(x) = In(2r² +1) (b) g(x) = x² In 2r (c) y =…

A: We have to find the derivative of given functions.

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

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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: Find the derivatives of the following functions. F(z) = 3 + cos(2z −1

A: Given :   f(z) = 3+cos2z-1

Q: d - xsin a d.x

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Q: 13. Find the derivative of the following functions and simplify the answer: 2x + Va 1y (a' 5x2 - 7…

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Q: Q. Find the second order derivatives of the following functions f (x). 3x-x i) Tan 1-3x

A: Derivative of function

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: 1.) у %3D cos —9:х3 y' =

A: We have to find the derivative of the function: y=cos-1 -9·x3 We know the formula of derivatives,…

Q: y у %3D sin(3x + 2)

A: Use rules of differentiation

Q: f(x) = sec(x2 – 1) + tan(x2 – 1)] e(æ+æ)

A: Given function - f(x) = secx2-1+tanx2-1ex2+xDifferentiating on both sides with respect to x -f'(x) =…

Q: 1. Find the derivatives of each of the following functions. 3x + 2 (a) g(x): (b) f(t) = (tan t)³ (c)…

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Q: Find the derivatives of the following functions as specified: f(x) = sin(cos r), f"(x)

A: Given: f(x)=sin(cosx) We have to find the second derivative which we can find by the use of chain…

Q: b. h(2) = (9z + 4)3, h®(2) с. f(т) — sin(cosr), f"(г)

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Q: 3a?x-x? 2 X-х Tan a(a²-3x²)

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Q: Find the derivative 4 f(x)=/9sin? C~)+ 4 cos?(x) %3D

A: The rate of change in the value of the dependent variable with respect to the change in the value of…

Q: Use the new derivative shorteut formulas below to calculate the derivatives of the following…

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Q: Find the derivatives of the functions defined as follows :

A: Given, y=3 tan14x+4 cot(2x)-5 csc(x)+e-2x

Q: Find the derivative of the following function and simplify as much as possible: f(x)= In(cos(2x)) a.…

A: Use the chain rule of derivative and simplify the result.

Q: Find the derivative with respect to the independent variable. f(x) = cos ? (8x2 - 1) f'(x) = D %3D

A: Given expression: fx=cos28x2-1 In such type of problem we will apply function of function rule: If…

Q: Find the derivatives. SIMPLIFY to one fraction or integer 5. a. g(t) 8t ln2 t b. y cos(tan 0)

A: Part (a):Find Derivative:

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

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Q: Find the derivatives of the following: f(x)=e^2x-2e^x+1/e^2x-1   And  y=e^cos(r^2cos^2r)

A: Given ,f(x)  = e2x-2ex+1e2n-1

Q: Find the derivatives of each of the following, showing the working and simplifying. (a) f(x) =…

A: Since, you have post multiple part. I am answering first three part. Please post again the question…

Q: Find the derivatives of the following functions. h(x) = sin(θ) cos(θ).

A: Here, I have considered derivation based on θ and x both. So, We try to find both dh(x)/dθ and…

Q: Find the derivative of the following functions. Write your answer on a separate sheet of paper. 1. y…

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Q: 4. Find y' * 2 (x – y)² = sin x + sin y

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Q: Solve for the derivatives of the following functions with complete solutions. a. y = In (5x²) b. y =…

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

Q: 3. Find the following derivatives:

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Q: Find the derivatives of the function r = (csc θ + cot θ)-1

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Q: h of the following functions, find the indicated derivative using the de x + cos(3nx) '; f'(1) x2

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Q: 3. Find the derivatives of each of the following, showing the working and simplifying. (d) h(x) =…

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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: Determine the derivatives of the following inverse trigonometry functions .1 f(x)= tan- Vĩ. .2 h(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: (2x2 -r+1) In(x)+2(cos(z² +3)| f(x) =

A: Quotient rule of differentiation:…