(x)= 3sin(2x +1) iii. In x y= - iv. 2

Q: Show that is C is a function of x with derivative C'=C/x and N=C/x, the d/dx (C/x)=(C'-B)/x

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Q: What is the derivative of f(x) = 26 (12.1)* + 8 (0.56)* +1 ex with respect to x? f '(x) =

A: topic  -  derivative of exponential function

Q: 1. Is the function F(x) = {r³ - 3x2 +4x-2 an antiderivative of the function f(x) =x?-6x+4? Use the…

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Q: Find all the antiderivatives of the following function. Check your work by taking derivatives. h(z)…

A: To find the antiderivative, we will integrate.  C=integrating constant

Q: Consider y = f(x)=√1+2x, x 2-1/2. Without finding x = f(y) explicitly, find the derivative of the…

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Q: Differentiate the following implicit function with respect to x: а. ху? —. y y - cos (y2) | x2 II

A: Here given

Q: Differentiate the following function:R(q)=q^4−9lnqEnter the derivative here:

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Q: 19. y = In(e* + xe*) %3D

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Q: Find the derivative of function defined as follows.

A: Given: fx=82x2+5 Differentiating the given function fx with respect to x, f'x=ddx82x2+5…

Q: Find the indicated derivative dz/do for z= x^3+x^2/1-x-4x^2

A: We have to find derivative

Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

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Q: 2 Find the second order derivative of the following functions y = f(x) and evaluate them at x = 2.…

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Q: Use the second derivative test to find the local extrema for the function f(x,y) = x² +y³ + 2xy – 3x…

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Q: Consider the following function. 5x, f(x) = XS1 %3D 5x2, x > 1 Find the derivative from the left at…

A: The derivative from the left side of  x=1 is…

Q: 4. y = sech? In x

A: As per bartleby guidelines, for more than one question, only 1st one is to be answered. Please…

Q: Compute the derivative of the following function. 1(x) = 3e 3x f'X)%3D

A: Topic - differentiation

Q: Let y=x+∣∣x2−8∣∣. Find the derivative of the function at x=3.

A: Given that y=x+x2-8.

Q: A. Determine the derivative of the following using the Four-Step Rule 1. f (2) — 5а — 4 %3D | 2. f…

A: Recall: Derivative using Four step Rule:step 1 : Write f(x+h) and f(x).step 2 : Compute f(x+h)-f(x)…

Q: 2. g'(x) where g(x)= x² +7x-5 %3D

A: ddxxn = n·xn - 1, and ddxC =0

Q: Differentiate the following function:P(t)=11Ce^t,where C is a constant.Enter the derivative here:

A: We have to find derivative of f(t) ,where f(t) is given by

Q: 3 S (x) = Se²* + +2x 2-1 +12 csc(x)cot (x)+3 b)

A: Explanation is given below.....

Q: The second derivative for the following function at x = 2 f(x) = V2x + is O 1 O 1/4 O 1/2 3/4

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Q: Q1. Integrate the following functions with respect to x: y = 3x2 (1+x³)*

A: Explanation of the answer is as follows

Q: Find the derivative of the following functions by applying "Delta Method". Show your complete…

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Q: Differentiate the following function. y = x12 ex dy dx II

A: To differentiate the function y = x12ex

Q: Find the derivative of the function f(x) = V (2² – 2)° 2 at x = 1. f'(1) = Preview

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Q: Compute the derivative function f'(x) algebraically. f(x) = 8x – 5 %3D f'(x) =

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

Q: A. Compute the derivatives of the following functions 1. f(x) = xe3x-sinx %3D

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

Q: Find the third derivative of f(1)= 2x(x -1)" Oa 18 b.14cos 13 OC16sim Od12

A: we all know that dxndx= nxn-1. and first derivative dfxdx=f'x and second derivative df'xdx=f''x and…

Q: Compute for the derivative of the function below for x = 1. f(x) = 2xe

A: Solution: dydxx=1=2xex

Q: 2. Find the derivatives of the following functions and simplify. i) f(x)=- Vx +1 ii) h(x) = In(x+…

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Q: 3 Find the derivative of the inverse of f(x) = x +1 using the formula dy %3D 1 off "(x)= g'(x)= dx…

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Q: Express the indicated derivative in terms of the function F(x). ASsume that F is differentiable.…

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Q: Find the given higher-order derivative. 1. f'(x) = 5x? f''(x) = 2. f''(x) = 5 – - f"(#) = 3. f'(x) =…

A: Note: As per company guidelines we are supposed to solve only 1 question or 3 subaprts. So, kindly…

Q: Use the definition of the derivative to find: f(x)= 1/x^3 g(z)= z^4 - 8z^2

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

Q: Differentiate the following implicit function with respect to x : b. y = -In (Ryx²) + sin(y)e³3Rxy +…

A: To differentiate the given implicit function with respect to x.

Q: Find the derivatives of the functions k(x) = x2 sec (1/x)

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Q: Find by implicit differentiation. dx 1. x3 – xy + y? = 7 2. x³y + y?x = -3 3. xy = x?y + 1

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Q: Find all the antiderivatives of the following function. Check your work by taking derivatives. g(x)…

A: Given function is gx=11x10. Antiderivative is opposite of derivative. Antiderivative means…

Q: 32. Differentiate the following function with respect to y. e + 3º = 1

A: This is a simple differentiation problem

Q: Find the derivative of the following function f(x) = 5(x + 47)^2 * %3D O f (x) = 10x + 470 %3D O.f…

A: The given function f(x)=5x+472

Q: Find the derivative of the following function. ° 4x y = In x y' =O %3D

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Q: Use this definition to compute the derivative of the function at the given value. h(x) = 5x² + 1 X =…

A: We have to find derivative

Q: Differentiate the following function. 1 y = Vx +6 d 1 dx Vx +6

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Q: Differentiate the following implicit function with respect to x: b. y=-In (Ryx²) + sin(y)e³*xy +e

A: Given

Q: 3) Use the definition to find the derivative of f(t) = +1 t+1 %3D

A: f'(t) = -1/t2

Q: Compute the derivative of the following function. f(x) = 2 e 2x f'(x) =L %3D

A: To find the derivative

Q: Differentiate the following functions: 4. y = In (sec 2x + tan 2x)

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Q: Differentiate the following functions with respect to x : y = 4x2 +x° – 4x6 1 5 1 y = x3 +-x2 – 4In…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…