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Q: a. Use implicit differentiation to find the derivative dx b. Find the slope of the curve at the…

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Q: Find the derivative of the function. {z) = e?/(z - 5) f'(z) = Need Help? Read It

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Q: a) Find the derivative in its simplest form for the following function 1–tanx y = tan-1 ¹

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Q: Find the equation of the tangent line to the graph of the given function at the given value of x.…

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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: f(x) = √x; x = 25, x = 100. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find…

A: Given f(x)=x

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

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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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: erentiate the following function. You do not need to simplify the derivative. - 12x e f(x) x3

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

A: We differentiate the function here.

Q: a. Find the derivative function f' for the following function f. b. Find an equation of the line…

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Q: Find the derivative of the trigonometric function.

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Q: g(x)=arcsec(4e^x) Find the derivative

A: Find the derivative of the function.      g(x)=sec-14ex

Q: 18. a. y = 3 ln x – In (x + 1) b. y = In x +1

A: We need to find derivative of given functions and prove that they are equal.

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

A: Derivative of function

Q: ind by implicit differentiation if y is defined as a function of x by the equation xy' + x? = x + 3y

A: Topic = Differentiation

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

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Q: Q3/ Sketch the graph of f(x) Q4/ By using the definition of the derivative, find dy/dx for y tan x.

A: (3) The graph for x2x+1 is, At x=0 then f(x)=0. At x=-2 then f(x)=-1 At x=1, f(x)=0.5 At x=2,…

Q: The sketch of y = (x) is shown below. Which of the following is the sketch of the derivative…

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Q: Find the derivative of the following functions at a given point x = a (3) (g) f(x) a = 4.

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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. Simplify where possible. h(t )   = Cot-1(t)+Cot-1(1/t)

A: we have to find the derivative of the function h(t)=cot-1t+cot-11t

Q: c. f(x) = -x Select the correct choice below and fill in the answer box if necessary. A. The…

A: we have given a function  fx=-x

Q: d [tan-1(x)] 1 Given the derivative of inverse tangent function find the derivative dx x2 + 1 d…

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Q: e°+7x , + In(Vx y =

A: on doing differentiation with respect to x we get  dy/dx=e^(x^3+7x)d/dx(x^3+7x)+1/√x.d/dx(√x)…

Q: Find f'(x) Find f(2) Find f'(2) Write the equation of the tangent line at x=2

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Q: a. Use implicit differentiation to find dx dý b. Find the slope of the curve at the given point.

A: Given that siny=5x4-5. a. Differentiate both sides of the above equation with respect to x as…

Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

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

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Q: Find the derivative of the trigonometric function. g(t) = 6 (sin(t))8 g'(t) =

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Q: Caloulate the derivative of the following function. y= sec (9x-5)

A: we simply apply differentiation property and get the required answer

Q: csc x The derivative of the function y = at x = 1 is equal to

A: We use the quotient rule

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

A: We have to find derivative

Q: y = csc³ CS x -

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Q: Find the derivative of the function. y = a6 + cos6 x y'(x) =

A: Given

Q: xArctanx - Invx² + 1 = y

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Q: Find the derivative. g(t) = 7/ square root t

A: We have to find the derivative of the function  gt=7t.

Q: Find the derivative of the function. f(t) = cos2(ecos2(t))

A: f(t) = cos2 ecos2tWe need to find f't

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: k(x)=(7)/(4x) a) find the derivative using the definition of the derivative b) find the equation…

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Q: Solve the problem. Consider the function L satisfying L'(x) = – . Find the derivative D(L(x®).

A: Derivative of function

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

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Q: a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to…

A: For (a), We need to find the derivative function f' for the function f(x)=2x2-9x+10. So,…

Q: 4. g(x) = Vx -1sec-1x %3D

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