1) Find the derivative of the given function with respects to e 3 tan 6 In 3 y

Q: Compute the following derivative: 1 -3/x dx sin(x)

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Q: 1) Find the derivative of the given function with respects to e 3tan ở In 3 y

A: Given

Q: 1 FIND THE DERIVATIVE OF EACH FUNCT'ON. 1.) y= sin () a.) y= Tan( 3x) 3.) y= Cos( 3

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

Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: Find the derivative of g(x) = In(sin²(ed/x)).

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Q: Find the derivative of the trigonometric function.

A: Given :           h(x) = sin 2x cos 2x   To find h'(x)

Q: 5. Find the derivative of: a. f(x) = cos(e³x-4)

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Q: 2. x² + 4xy + y² = 1

A: Differentiation

Q: 6. Find the tangent line to the function f(x) = 2x cos"(x) (0, 1).

A: To find the slope we need…

Q: 3. Find the derivative of the function. y = In(t2) – arctan(-

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Q: 1. Find an equation of the tangent line to the graph of the function at the given point. f\xl=In…

A: Solved below

Q: The derivative of In (cos x) is

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Q: 2х- 3 3. У3 5x +1

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Q: 1 Find the derivative of g(x)= (x)sec(x) + a+ x* + cos - sin(x)

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Q: 4. Find the derivative of the following function. 1+ sin x 8(x) = 1+ cos x

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Q: Find the derivative of y with respect to x. 1 y = cot 16x² - 1 + sec - 1 2 - 1 4x, 4

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Q: Find the second derivative for the functions defined as follows .p(x) = sin(x2)

A: We have to find second derivative of the function: px=sinx2 We know the formula of differentiation,…

Q: e. f. f(x) = cot(-) X f(x) = sin(x³ - x)

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Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: 8. Find the derivative of the function. y= In(1+x)

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Q: 12. The derivative of cos(1 – x) with respect to x is ;A. - sin(1 – x) B sin(1 – x) C -(1– x) sin(1–…

A: Given that: Let f(x)=cos(1-x)

Q: y = (sin x) ³

A: Given function is  y = (sinx)y   this is explicit function of x and y.  So, first we will take…

Q: The derivative of the function 3+ln x is: y = cos(In x)

A: y=3+ln(x)cos(ln(x)Differentiate w.r.t.xApply the Quotient Rule:  fg'=f…

Q: cos (5x-0.1) w(x) =- e*

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Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Given :             cosh(3x2y) = x + ln(exy + 1)   To find :            ∂y∂x

Q: 1. Use implicit differentiation to find an equation of the tangent line to the curve at the given…

A: Part 1 : Slope of tangent at (π2, π4) is given by dydx(π2, π4) ⇒y·sin 8x=x·cos 2x⇒ddx(y·sin…

Q: 6. Find the first order derivative with respect to z of the function u = In/x2 + y2 +z²

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Q: Find the derivative of the given function f(0) = sin' 0 3

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Q: 1) Find the derivative of f(x) = 1+sin 2x %3D 2 cos3 x

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Q: Find the derivative of y with respect te X /3 %3D

A: Finding dy/dx

Q: (a) Find the derivative of the function g(x) = sin2 x + cos2 x (b) then use a trigonometric…

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Q: Find the second derivative of f (z) = 6 sin (5z). %3D Enclose arguments of functions in parentheses.…

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Q: Solve for the derivative of the following trigonometric functions. 1. f(x) = e3x 2. f(x) = x³ ex 3.…

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Q: Find the derivative of y with respect to x, and 0 as appropriate: y = 6(sin (In 6) + cos (In 6) а.)

A: Given equation is: y=θsinlnθ+coslnθ Differentiate each term of y with respect to θ:…

Q: 2. Find the derivative of the function. y = e* In (sinæ)

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Q: Find the second derivative of f (x) = 9 sin (2æ). Enclose arguments of functions in parentheses. For…

A: Second derivative of f(x) is given below...

Q: 2. Find the derivative of y = tan°(/1 – x²). Make any obvious simplifications. %3D

A: Using chain rule of differentiation.

Q: If y = cos x, then the nth derivative of y with respect to x is equal to itself if n is a natural…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: (a) Find the derivative of cos(1+x²).

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Q: 3x-4 1. Y= Arctan 4

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Q: Find the derivative. 8 + e y = In 8 + et 8 - ex.

A: Given,          y=ln8+ex8-ex

Q: 7. y = cos(sin(In(æ))

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Q: Find the derivative of y with respect to s. (56° +3) У3 sec

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Q: f(x) = sin (x³)

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Q: The derivative of the function y = cos(x ln 3)log3 (sin x) is:

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Q: (x² +SJ° In 14-X つ. dr

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Q: find the derivative of y with respect to x, t, or θ, as appropriate.

A: On simplification, we get

Q: Find the fourth derivative of f (z) = 3* + In (z) – 191z. Enclose arguments of functions in…

A: To find :  Fourth derivative of function ,  f(x)=3x+lnx-191x

Q: 1) Find the derivative of the given function with respects to 0 y = 3lan In 3

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

Q: 2. Determine the 8th derivative of y with respect to x of the function 1 f(x) = 1+x2 and find the…

A: Taylor series

Q: Find the derivative of f(x) = 3r sin(-)(x) – In(r² – 1) + 8² – 5 cosh(x)

A: Find the derivative of function

Q: f(x) = (x + 6 sin x) (1 – 5 cos x -

A: To find the derivative of:f(x)=x+6sinx1-5cosx

Q: f(t) = sin²(e in²s) %3D

A: Given : ft = sin2esin2t

Q: Prove, by Showing all steps i that the 1. derivative of arcos x is 1-メ

A: Derivative of arccosx is -1/√(1-x2)

Q: 3. Find the derivative of the following function. 8(x) = cos"(vx)

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Q: Find the derivative: 1+e5 f(x) = = COS 1.

A: The given function is f(x)=cos1+e5x1-e8x

Q: Find the derivative of y with respect to x. y= In (tan (4x*))

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Q: I FIND THE SECOND DERIVATIVE(y") OF THE FF IN ITS SIMPLI 3x 1. Y= Arctan

A: Since we are given with the multiple number of question and our guideline is solve first question…

Q: What is the derivative of the function h(x) = ((4x^2-4)/(cos(x)))^8

A: We have to find the derivative of ((4x^2-4)/(cos(x)))^8 = 4^8(x^2-1) sec^8(x)= 65536(x^2-1)sec^8(x)