Express y as a function of x.The constant C is a positive number. ln y = 3x + ln C

Q: Write the formula for the derivative of the function k(x)2x2+ 14x + 1 (Hint: Rewrite as three…

A: First we simplify k(x) and write as three separate terms.

Q: Find the first and second derivatives of the function. x2 f(x) 7 + 8x f'(x) %D f"(x)

A: Use the concept of derivative of the form y = v/u

Q: Expand or simplify the function, and then calculate the derivative.                      s(t) =…

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

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

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Q: Find the derivative of the function at the given point in the direction of A. f(xy) = 5x2 + 4y, (-…

A: We have to find the derivative of the function at the given point in the direction of A.…

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

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Q: Find the first and second derivatives of the function. g(t) = t2(6t + 5)4

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

A: Topic:- derivatives

Q: The derivative of the function - is equal to e Select one: a. a(2º In 2 + 1) b. e" (2ª In 2) c. e"…

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Q: Зх-1 -dx 2 x+1

A: Given query is to find the integral.

Q: The derivative of the function Is equal to Select one: a. e"(2" In 2 + 1) b. æ(2" In 2 + 1) c. e2²+=…

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Q: Find the derivative of the function. F(e) = (9t + 14)2/3 f (e) =

A: Given query is to find the derivative of the expression.

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

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Q: 19. D 20. 21. y = x + 1

A: We have to find derivative

Q: Assuming 0 &lt; c &lt; d, find the value of b (in terms of c and d ) for the function given

A: given: 0&lt;c&lt;d. the given integral is∫cdx+bdx=0 ∫cdx+bdx=0x22+bxcd=0d22+bd-c22+bc=0

Q: The derivative of the function is equal to Select one: O a.e (2* In 2) b. e* (2* In 2 + 1) c. x(2*…

A: Given function is By using the law of exponents x^m/x^n=x^(m-n), we get Differentiating with…

Q: Find the first and second derivatives of the functions

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Q: Find the derivative of the function g(x) = (2a? – x + 5)e"

A: Our Aim is to find the derivative of (2x2-x+5)ex.

Q: Find f'(x) and find the value(s) of x where f'(x) = 0. X f(x) = x + 16

A: fx=xx2+16

Q: Prove the following equation: b f(x)f'(x) dx =

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Q: Find the derivative of the function. g(t) = (9t + 6)2 (6t? - 6)-3 g'(t)

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Q: The function is given by implicitly by the equation xy² +x?y+x?y² = 3. Find the derivative of y in x…

A: Here we use derivation in the function

Q: Find the first and second derivatives of the function g(t) = t2(5t + 4)^4

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Q: Find the second derivative of the function. 1+20 (2-0) 20 O d2r de? O d2r 2 1 de? e3 O d2r de? 1 O…

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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: 2. Find the derivative of each function a) f(x) = x³e/x et3+7 b) g(t) %3D t2 )듬x리 In(2x + 1) 8x+9 x3

A: According to our guidelines we can only answer 3 subparts of a question, rest you can repost

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: For what value/s of x is the derivative of the function - Vx² + V¤ equal to 1? O x= 1/27 O x = -1 O…

A: Consider the given function -x23+x3.   Obtain the derivative as follows. ddx-x23+x3=-23x-13+13x-23…

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: The derivative of the function f(x) = 3x? – 9x – 5 at the point x = 1.5 %3D is : O 0.0 O 18.0 O 13.0…

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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 (ho g)(x) for the indicated functions. h(x) = Vx+4, g(x) = x+3 (ho g)(x) =D

A: Given,          hx=x+4 , gx=5x+3

Q: Find the derivative of the function. 2t? f(t) 2t2 + 3t – 1 f'(t) =

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: For what values of a, does the function z = x°e¯i satisfy the equation Y Zyy = Zx – Zy ?

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Q: Find the first, second and third derivative of the given function - 4 7. f(x)=. (1 +2)* 1 8. y=

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Q: s dx 2

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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 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: The derivative of the function y = 2t 1 A V2t 1 2t/2t 1 2t/2t 1 D B.

A: Definition used -            Power rule of derivative -…

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

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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.