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

Q: Let f(x) cos(x), find each of the following: Find the second derivative, f''(x) Find the third…

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Q: 10 A(x)= V tan x+ 4x=

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Q: Find the derivative of the trigonometric function. g(t) = 5 cos2t

A: g(t) = 5 cos2t We need to find the derivative of the trigonometric function:

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

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Q: A. Solve for the Derivatives of the following functions. Final answers should be in simplified form…

A: Given y=tan-1(4sinx3+5cosx)

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

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

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Q: Let f(x) = sin(æ), find each of the following: Find the second derivative, f''(x) %3D Find the third…

A: we have given

Q: Solve and upload your solution and answer to the following questions: 1. What is the derivative of y…

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Q: Find the derivative of the trigonometric function.

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

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your…

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Q: ind the derivatives and simplify answers: a). f(x) = tan-(e4"), (b). g(x) = x² + 2r³ cot-- In(1+x²).

A: ddx(arctan(e4x))We know that…

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: f(x) = / sinx cos x

A: The objective is to flnd the derivative and slmpify.

Q: Find the anti-derivative as a function (use the insert math tool to input your answer) S xVx-3 dx Xv

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Q: er #3 only.

A: Here we have to find the second derivative and simplify the final result.  3)…

Q: 1 5. Find y" of y= sin 3x

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Q: x-1 8. у %3D1og. y = х+1

A: Given y = logx-1x+1 It can be rewritten as y = logx-1x+112y = 12logx-1x+1 Differentiate both sides…

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

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Q: xcsc x g(x) = 3-cscx

A: Given that g(x) = xcscx /(3 - cscx )  We find derivative of this function g(x). We know that…

Q: Q3 A) Sketch the function y=sech' x , then write the properties of this function. 30 B) Evaluate Two…

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your…

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Q: 32. y= Vile +1+r*)

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

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

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Q: Find the derivative of the following trigonometric functions and simplify if possible. Box your…

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

A: Solution:

Q: cation fre means "take the derivative with respect to x, then take the derivative of that with…

A: In this question we will use basic of partial differentiation.  First we will find first partial…

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: find the derivative of

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Q: ind the second derivative and simplify the final result 1. cos(xy) + sec(y) = 5

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Q: Find the second derivative of the function. f(x) = sec x F"(x) = sec x(see²+tan² Need Help? Submit…

A: Let's find double derivative of function.

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

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Q: Function Y 2(sin(4x – T) – 4) , determine its amplitude, phase shift and period.

A: Consider the given function y=2sin4x-T-4 Simplifying it y=2sin4x-T-8   The standard form is y=A…

Q: gx)- sın (tan x") () = SIn

A: Derivative of a function formed by a composition of two functions i.e. f(g(x)) is given by – d/dx…

Q: 4 Y= 5/(sin3x +cos3x)

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Q: d Using the definition of derivative, show that: (10 sin(x)) = 10 cos(x) explain your steps clearly.…

A: We have to show   d dx10sin(x) =10cos(x) By definition of the derivative we know…

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

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

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

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

A: Solution :-

Q: Find the derivatives: Show steps. 1. y = cos(f(g(x?))) %3D

A: Here given that y and differential of this with respect to x .     We know. that. differential of…