Express y as a function of x. The constant C is a positive number. ln y = ln(x + C)

Q: Find the derivative of each function e 2x a. f(x) = 2x+1 b. f(x) = In Vx + 2x c. f(x)= x²e* – 6x

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Q: Find the second derivative of the function. 20 (2-0) 20 dr 2 O A. do 2 1 B. do? O OC. do 1 OD. do?

A: Given:  A function is given by,r=1+2θ2θ2-θ To Find: The second derivative of the given function…

Q: 1. Find the function whose derivative is XV X xª – 1

A: We need to find a function whose derivative is 1xx4-1

Q: Find the derivative of the function. (e) = (3t + 18)2/3 f "(e) =

A: Given f(t) = 3t+1823f'(t) = d3t+1823dtwktdf(t)ndt = n·f(t)n-1·f'(t)

Q: (A) Find the derivative of t² – 1 y = t2 + 1

A: The identity used is d(uv)dt=v *dudt-u*dvdtv2 where, u and v are the functions of t.

Q: Find the first and second derivatives of the function. g(t) = t°(6t + 5)* g'(t) g"(t) =

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Q: A) Find the derivative of the following functions. 2. y°+3xy=5x+17

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Q: Find the second derivative of the function.

A: The first derivative is initially found, so that the second derivative can be found. This is because…

Q: Evaluate the function: dx (x+1)–Vx+1

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Q: Let R be a variable and r a constant. Compute the derivative. d :(1º . R?) dR

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Q: Find the derivative of the function. y = x?e* – 2xe* + 4e* y' =

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Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: N g'(x) = Find the derivative of the function g(x) = (3x²5x + 1)e²

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Q: 23. Find the derivative of the function. f(x) = 6sin?(-5x8) %3D f'(x) = %3D

A: Here is the solution of the given problem. Derivative: By chain rule

Q: Find the first and second derivatives of the functions

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Q: e Find the derivative of the function g(x) = 2+ 3x g'(x) =

A: See solution below

Q: A) Find the first and second derivatives of the function g(x) = Vx² + 2x .

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

Q: Find the second derivative of the function. h(t) = −12 csc t

A: Given: h(t) = −12 csc t

Q: Find the derivative of the function. y = x?/49 – x2 49 – x² y' =

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Q: Find the third derivative of the given function. o1) = ()2 - 3)* g"(t) =

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Q: Find the derivative of the function Y= x^11e^x Y’=?

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Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the first and second derivatives of the given function. f(x) = e *(3 + 3x)? Calculate f'(x).…

A: The given function is fx=ex3+3x2

Q: Find the first derivative of each function below. Simplify as far as possible. x' +x -1 (a) y (3x² –…

A: Use the product and quotient rule of derivative to simplify. PQ'=PQ'+P'QPQ'=QP'-PQ'Q2

Q: xVx? +1 y = (x +1)

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

A: y=e-3x+4+2e2+3x+1 take the first derivative y'=ddxe-3x+4+2e2+3x+1…

Q: help!

A: Given function is

Q: Find the derivative of the function. y = (e9u − e−9u)/(e9u − e−9u)

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Q: Find the first and second derivatives of the function. L(t) = 1+2.le 16 3.9t

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Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: The function -12x-32. We have to find an antiderivative for the given function. Check your answers…

Q: Зx? — 2 =(x)F 2х +3 g(X

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Given function is cx=6xx3+2......1. We have to find the derivative of the function cx. Equation 1…

Q: Find the derivative of the function. t(x) =  x2 − 8x3

A: Find out the function in t(x)

Q: find an antiderivative for each function. Do as manyas you can mentally. Check your answers by…

A: Given  To find Antiderivative for x2+2x

Q: Find the first derivative f' and the original function f. f"(x) = x³ – 48x, f'(1) = 0, f(1) = 16

A: We have to find f'(x) and f(x).

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

A: Given, Cx=10xx3+7 Diifrentitaing the given function up to first order with respect x.

Q: (A) Find the derivative of t2 – 1 y = t2 +1

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

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the second derivative of the function. f(t) = t?e-5t f"(t)

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Q: Find the first derivative f' and the original function f. f"(x) = x³ – 24x, f'(1) = 0, ƒ(1) = 20 %3D

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

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Q: 4. k(x) = (4x³ – 7x² + 5)/4e*

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Q: Let a and n be positive integers such that a < n. If the derivative of the function y = ar" + næª is…

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative of f(x) = 7. A. 7 B. 0 What is the derivative of In(x)? A. xin(x) B. 1/x C. 7x…

A: Multiple questions-"As per our guidelines we are suppose to answer only one question.Kindly re-post…

Q: 6. Find the second derivative of the function. f(P) = v1– 2P7 eC-2P

A: Some derivative formulas: ddx(fg)=fg'+gf'ddxfg=gf'-g'fg2ddx(a)=0ddx(xn)=nxn-1

Q: Find all the higher derivatives of the function f(x) = (3x+7)°. TATER P'(x) = P'(x) =] p"(x)=

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Q: 2. f(x) = 2x – 5x%

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Q: Find the first and second derivatives of the function. g(t) = (3t2 - 3)2 (8r?) %3D

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.