15) Determine the 3rd derivative of the function f(x) = 2\x-x³ [T:2]

Q: Find the first and second derivatives of the function. f(x) = In(x + 4) f'(x) = f"(x) I3D

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

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Q: Find the first derivative of g(x) = - 9e* tan(x). : (x),6

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Q: 1. Explain how to use the differentiation part of the Fundamental Theorem of Calculus px 2+sin(4t)…

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Q: Compute the derivative of f(x) = 7 ln (x + 10) + In (x³ ): Answer: f'(x) =

A: Given function is  f(x)= 7ln(x+10) + ln(x3), we have to find the derivative of f(x) with respect to…

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

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Q: The derivative of f(x) = 5x – Vx + (sin)x – e² -

A: Given; f(x)=5x4-x1/3+[sin(π/2)]x-e2

Q: f(x) = cos (x – a -2).

A:

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

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Q: 14. f(x) = 2 +3cos x

A: using basic properties and application of derivation we will solve this question.

Q: Find the derivative of the function. 3x2 g(x) • dt 4 + t3 tan x g'(x) =

A:

Q: Find sixth order derivative of the function f(x)=(x-5)^7.cos(5x) by using Leibnitz theorem.

A: n! = n × (n-1) × (n-2) × (n-3) × (n-4) × ............ × 1

Q: Find the derivative of the function. 1- e3x 1 + e3x y = cos y' =

A: Given that: y = cos1-e3x1+e3x To find: We have to find the derivative of the given function.

Q: In(x), Sn (4t + et) dt. Find the derivative of F(x). 3.

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

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Q: Determine the derivative of g ( x ) = 3 e-4 x*sin(7 x) with respect to x. = (x), 6

A: As per the guidelines, we need to author the 1st question.  We know that product rule is given by…

Q: Find the derivative of the function. • 2x2 g(x) = 1 dt 3 + t3 /tan x g'(x) =

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Q: Find the derivative: 1+ e2x = cos 1 - e6x f(x) f'(x) =

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Q: Find the weak derivative of f() = |x² – x + 1/5| on the 1) interval (0,1).

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

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Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

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Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 (x2 + 1), x > 0

A: Given that, y=csc-1x2+1

Q: Find the derivative of the function y=cos(3 In x).

A: Given y=cos(3lnx)

Q: y = cof'/ x2-1 x²+

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Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: Compute the derivative of the function f (x) = tan x2 +1

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Q: 1) Find the second derivative of f (x) = 24 . %3D

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Q: How do you solve question 10?

A: Given function is  By definition of derivative , we have

Q: Find the derivative of g(x) = e-" cos(x²)

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Q: 1. Explain how to use the differentiation part of the Fundamental Theorem of Calculus to determine…

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Q: Q1: Calculate the 5th derivative of f(x)= (2x-5) sin x *

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Q: 1. Find the first order derivative of u = x*.

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Q: Find sixth order derivative of the function f(x) = (x – 5)7.cos(5x) by using %3D Leibnitz theorem.

A: If y=uv where, u and v are functions of x then un and vn denote the nth derivative of u and v with…

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: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: c. Find the derivative of y =+- et x3 cOS X 2

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Q: Find the first derivative of g(x) = 2 In(x)tan(x*). g'(æ) = %3D

A: Given that g(x) = 2ln(x) tan(x^4). Find first derivative of this function. We know that derivative…

Q: 1. Find the second derivative of y = sec-'x+ csc-!x. a. 0 b. C. +x+ d. -1 2. е.

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Q: Find the derivative of the function. y [x + (x + sin²(x))-1*

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Q: B) Use the definition of differentiation to find the derivative of the function f(x) = 4- Vx + 3. Is…

A: Consider the function: fx=4-x+3 The definition of derivatives is given by the formulas,

Q: the function f(x) = In 5x +3x + 13). 6. Differentiate ° 7. Find the derivative of the function .2 y…

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Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

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)