se 2. Compute the Derivative of the given function and find the equation the line that is tangent to its graph for the specified value x = c. 1. f(x) = 2x; x = 4 2. f(x) = x = 1 3. f(x) = 7 - 2x; x 5

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

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Q: A function is given as x - 6y = 5– x. Calculate the derivative of y with respect to r with two…

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Q: Find the derivative of the function y=(ex−1)(ex+2) and calculate its value at x=0.

A: Differentiating with respect to x, we get

Q: Find the value of the derivative (if it exists) at each indicated extremum

A: Given: The function is  fx=-3xx+1 And the extremum of the function is point -23, 233

Q: Find the derivative of the function. anh 2

A: the given equation is

Q: Find the derivative of y with respect to x. 4. (x² - y²)² = 4ay²

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Q: Find the derivative of function defined as follows.

A:

Q: 15 At which point derivative of the function is 0DS (5 Puan) C D E A B

A: Given is the sketch y=f(x).    To find derivative of the function is 0, look for the point when…

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: 2. Calculate the derivative of the following. y = (x*- 3x2+5x) 3 y = tan (x2 + 5x - 2) А. B. (4x +…

A: Given  A. y=(x4-3x2+5x)3 B. y=tan2(x2+5x-2)C. y=(4x+3)3(x-2)2D. y=x2ex2-1

Q: 6. Determine the derivative of the following functions. Do not simplify. (a) y = 2t° +t+ e² 2 (b) y…

A: Given:           (a) y=2t5+t+e2Differentiating with respect to…

Q: Find the derivative of the function g(x) g'(x) = ex + 3xe (2+3x)² = x| X et 2 + 3x

A:

Q: Of the two functions f and g in Figure , which is the derivative of the other? Justify your answer.

A: Given Graph,

Q: A) Find an equation of the line tangent to the function of x2 + (y – x)² = 9 at x = 1. dy 3) Using…

A: A).Givenx2+(y-x)2=9(y-x)2=9-x2y-x=±9-x2y=±9-x2+x -----{1}Taking positive of equation {1}y=9-x2+xNow…

Q: Find the derivative of y= (x+1)^x+1

A: Find the derivative

Q: Find the derivative of the function y=2x+12x−1 at x=1.

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given f(x)=(1-x)23  To find  Find left-hand limit derivatives from the left and from the right at x…

Q: Find the derivative of the function: f(x)= e^x÷x^2

A: Given,

Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

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Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: fx=1-x23 To Find:  To find the left hand derivative LHD and right hand derivative RHD and to…

Q: Find the derivative of the function. 7x 7x flu) du J3x 0 fu) 3x d du g(x) Hint: fu) 3x u5 g'(x)

A: To determine the derivative of the function.

Q: Find the derivative of function defined as follows.

A: Derivative of the function can be found with the help of differentiation of the function.…

Q: What is the derivative of y = 4 coth^-1 (9x-3)

A: Concept: Hyperbolic function derivative: As differentiation of a function establishes the rate of…

Q: Find the derivative of function defined as follows. h(x) = (x2 - 1)3

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Q: Find the derivative of the function.

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

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Q: Find the derivative of the following using the three-step rule Зх — 1 1. y= 2х+5 2. y=Va? +x?

A:

Q: Find the derivative of the following using the three-step rule Зх-1 1. у3 2x +5 2. y=Va² +x?

A: Using three step rule.

Q: Find the derivative of the function y=(x−1)(x−2)(x−3) at x=0.

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: f(x)=(1-x2) Find the derivative of given function from the left and from the right at x = 1…

Q: Calculate the derivative of the function y(x) given by the equation x2+2xy+2y2=1 under condition…

A: For y=1 we find x

Q: Find the derivative of the function f(x) = V (x² – 2)* at x = 1.

A: Given f(x)=(x2-2)23      ⇒f(x)=x2-2213⇒f(x)=x2-223

Q: What is the value of y' at x=-4 is ______? Evaluate the derivatives of the given function for the…

A: The function is given by y = 5x2-x+53-3x-x2 To evaluate : The value of y' at x =-4

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: Find the derivative of the following e^2x y = π / 2 y=5e^3x

A: Given function, y=e2x Using the chain rule of the derivative y'=dydududx Let 2x=u The derivative of…

Q: Suppose f(x)= √1 − 3x a. Use the definition of derivative to find the slope of the tangent line to…

A: Given: f(x)= √1 − 3x To find: a. Use the definition of derivative to find the slope of the tangent…

Q: 1. [5.1] Determine the equation of a line tangent to the curve of x = 1. f(x) = 5e* +1 at 2. [5.1]…

A: A detailed solution is given below

Q: Find the derivative of the function m: f(x)= e^x^3+4

A: Topic = Derivative

Q: 1. Use the definition of derivative to find f'(1) 2r2 b) f(x) = Vx

A: Derivative of the function using definition

Q: 4. Find the derivative of the following function. y = x*

A:

Q: Find the derivative of the function

A: Given,

Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: find the derivative of the given function y^4=4xy using implicit differentation

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Q: find the derivative of the function  F(x)= e^x/e^x + 8

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Q: 4. The derivative of the function f(x) = r +3) is

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Q: Compute the derivative of the given function and find the slope of the line that is tangent to its…

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Q: The graph of a function is shown together with the tangent line at a point P. y 5 4 3 2 1 2 3 4 6. 7…

A: topic- tangent

Q: Find the derivative of the function y = csch−1 (1 − x)

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Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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Q: Find the derivative of y with respect to x. 3. (x² + y²)² =ay²

A: The equation given to us is

Q: Determine the value of the derivative function for Ax) = (x + x)(x- 2) at x = 2. %3D A 6 в О с 5 D1

A: