FINAL ACTIVITY: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTION.WRITE THE ANSWER INTO SIMPLEST FORM: y = (cosh x- sinh x)2

Q: Solve the given item below and write the answer on a separate sheet of paper. Find the second…

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Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) f(x) =…

A: Use the concept of derivative of the form f(x) = uv

Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) f(2) =…

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Q: II. Find the derivative of the following: a-x 7. y Arcsin + Aresinx 8. y =

A: We have to calculate the derivative of the following...

Q: 6. In(x³y²) = x² +y³

A: Let's find second derivative of given function.

Q: Find the second derivative of the function F(t) = 5tsin(1³). Answer F"(t) =

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Q: Find d of the function given implicitly and evaluate the derivative at the given point. y = sin (…

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Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) 7x? +…

A: We differentiate the function here.

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: 3. Find the derivative of the function, and do your best to simplify the result. [P372]| arcsin 3r…

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Q: derivative(y

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Q: Final Final Answer: 8. Find the 2nd derivative of Answer: 3 y = In(7 – x³) 9. Find the 3rd…

A: In the question we have to find derivatives of given function.

Q: a) Find first and second derivatives of the following functions: x³ + 7x y=-cot(3t-1)

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Q: x+1 39. f(x)= In -+arctan x x-1

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Q: asider the function f(x) = sin(2a). Find the derivative of f(x).

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Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) f(x) =…

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Q: e(2x- y) = 2x – y

A: Consider the function e2x-y=2x-y The given function is implicit function. Differentiate the function…

Q: a. Using the definition of differentiation, find the derivative of the following function Tv Note:…

A: By the definition , differentiation is , f'x = limh→0fx+h-fxh Here ,                       fx =…

Q: 9. XArctanx - Invx² + 1 = y

A: It is second derivative.

Q: Jse the definition of derivatives using this formula f(x + h) – f(x) lim 3. Find the derivative of…

A: Here we use the derivative using the formula  limh→0f(x+h)-f(x)h

Q: 16. y= 3 cot(n6)

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Q: Where would derivative f'(x) equal zero? d. Would the derivative be positive, negative, zero, or…

A: Ans c. Slope at cusp and corner is not defined. Slope at curved point (between x=0 and x=1) = 0…

Q: Solve the given item below and write the answer on a separate sheet of paper. Find the second…

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Q: Jsing implicit differentiation, for the equation a* + y' = 7 is _

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Q: (a) Use the formula f(r+h) – f(x) f'(x) = lim h→0 h to find the derivative of the following…

A: Topic = Limits

Q: 91x Find the derivative of f(x) = sin x+92

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Q: f(x) = sinh(e3x² + 5)

A: We have to find

Q: Find the derivative of the function. g(x) = sin 9 + ex g'(x) Need Help? Read It

A: Solution:

Q: Find the derivative of the function. y = x?V 36 – x² y' = Need Help? Read It

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

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Q: Find the derivative of the function. (Simplify your answer completely.) g(t) = t2 In(e2t + 6) g'(t)…

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Q: xArctanx - Invx² + 1 = y

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Q: Find the derivative of the function. 4r y'(x) = Need Help? Read It

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Q: Q3. Find the first and second derivative for the following function, giving your answer in a…

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Q: V2 Find the slope of the curve y= sinx at without calculating the derivative of sinx The slope of…

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Q: Find the derivative of the function. Vi+3 y'(x) = Need Help? Read It

A: Given find derivative of y=4xx2+3

Q: Using the properties of derivatives, solve for f"(k lа.

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Q: 5. e(2x- y) = 2x - y

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Q: Prob. 3 (a) (2) Compute the derivative of the function y = (b) ( sin x 1-x² ) Find the second…

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Q: Find the derivative of the function below. (Do not simplify your answers, and SHOW ALL STEPS) 3x5 +…

A: Use the concept of the derivative of the form  f=u/v

Q: 4.) ft) = Vf 5.) f(x) = V1+x² %3D 6.) f(x) = (1 – x)

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Q: d the der

A: Introduction: The formula of first principal of derivatives is given by, f'(x)=limh→0f(x+h)-f(x)h…

Q: Find the second derivative (y") of the following function step-by-step and simplify the final…

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Q: Jse implicit differentiation to solve for dx a. x? - y? = 1 b. ху—х +2у В

A: Implicit differentiation: using implicit differentiation you can find the derivative of the function…

Q: Jse the Quotient Rule to find the derivative of the function. cos(t) f(t) (t)

A: We will use the quotient rule of differentiation to find the derivative.

Q: Find f"(x). 5, f(x) = / (x² + 7) ª Tip: This question askes for second derivative. Mu

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Q: . Arcsin(x/y) = 4x + 3y

A: Solution :-

Q: 4. y = x0sx

A: Take the logarithm then take derivative twice.

Q: Use the function below to answer parts (a)-(c). f(x) = x? +6 (a) Use the formal definition to find…

A: The given function is, f(x)=x2+6. a) Find the derivative of y=f(x) at x=2 as follows. By definition…