FINAL ACTIVITY: FIND THE DERIVATIVE OF THE FOLLOWING FUNCTION.WRITE THE ANSWER INTO SIMPLEST FORM: sin x y = 1+sinx,

Q: 2х -1 Find the derivatives of the following functions Sin 1+x?

A: the given function is y=sin-12x1+x2

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

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Q: х-1 8. у%3Dlog. х+1

A: Given  y=logx-1x+1  =12logx-1x+1 The first derivative is  y'=121x-1x+1ddxx-1x+1…

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 two possible functions ff given the second- or third-order derivatives f'''(x)=cosx

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

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Q: Q1:- Find the first order derivative of each of the following functions: b) y = tan(secx2)

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Q: g(t) = t^2/3 - t^-1/4 + pi Find the derivative

A: The objective is to differentiate the function with respect to t.

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: s=cot^3(2/t) find the derivative

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Q: 3x2 + 2x Determine the derivative of the function f(x) = cot x

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Q: Find the derivative of the trigonometric function.

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Q: -3x²+tan(3x-5) Explain the steps you would take to find the derivative of f(x) = (e

A: Our Aim is to find the derivative of f(x)=12e-3x2+tan3x-5 -(i)

Q: In the given question , find the derivative of the function? h(t) = t /6 sinh(-3t)

A: Given that: ht=t6sinh-3t

Q: derivative(y

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Q: 2 5. x = - 1+t2 2 y= t(1+t²)

A: To find the second derivative of parametric equations, x=21+t2 and y=2t(1+t2), use the formula,…

Q: 41. y= (1+4x)(3+x-x²)

A: see below the answer As we know that  ddxuv=dudx×v+u×dvdx  for u and v are two function of x

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

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Q: Findthe derivative of each function and evaluate the derivative at the given value of a.

A: Solution;Given    f(x)=tan xx-1Formual:ddx(uv)=uv'+vu'ddx(tan x)=sec2 xlog ab=b log atan x=sin xcos…

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: Find the derivative of the following function. Show your complete solution. (Hint: some items may…

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Q: (a) Find the first 4 derivatives of f (x) = sin (ax), and use the results to find the following…

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

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Q: 50. y=Vx+Vx+

A: Since you have asked multiple question As per our policy, we will solve the first question for you.…

Q: d. #69 y = (In z)c0s

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

A: Solution:

Q: Give the derivative formula for the function g(x) 2.8x12 = (x), 6

A: The given functions are,

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

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Q: Obtain the derivative of the following function, explain each step, and indicate each formula you…

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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: 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: (a) Find y' by solving the equation for y and differentiating directly (b) Find y' by implicit…

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

A: Given  Cos(y) = x We need to find d²y/dx² We need to apply chain rule and product rule to solve…

Q: Find the derivative of the function f(x) = 2I18) 8z 15 Answer:

A: Given query is to find derivative of f(x).

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: (c) Use fzero to find when the derivative of 5. S(x) = 9. cos(x) sin(x) is 0 in the interval (0,…

A: NOTE: As per the guidelines we are supposed to answer only one question because all parts or…

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

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Q: 39. y= (1+x*}"

A: 39) To find derivative we use the chain rule.

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.