7-46 Find the derivative of the function. 28. f(z) = e=/(z-1)

Q: 8 log, 4-37 Using rules for derivatives, find the derivative of f (x) sin x

A: Given: fx=8logx4-3xsinx We know that ddxuv=vdudx-udvdxv2…

Q: B) Derivative following functions by using chain rule method 1) y = 5u³- u? , 2x = 4u? 2) у %3D |1 ,…

A: Answer (1): Given that, y=5u3-u2, 2x=4u2 Suppose fgx Then, to find the derivative apply the chain…

Q: Consider the discrete difference equation X1+1 = 13x,e¬X; Find the set of all equilibrium (or fixed…

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Q: (a) Find the derivative. y = ln(4x − 2) − 3 ln(x) dy dx =     (b) Find the derivative. y = ln…

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Q: 3 (8) Consider the curve given by 23 + x?y+ y³ = 1 Use implicit differentiation to find the equation…

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Q: 1. Given f (x) = x-Vx gn the interval (0, 9), show work for finding: a. derivative and simplify the…

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Q: A differentiable function has the value y(-1)=1 and the derivative value y’(-1)=2 approximate the…

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Q: 3. What is the derivative of y = (f(g(f(g(x))))? Furthermore, if you are asked to evaluate the…

A: The given function,     y=fgfgxg0=0, f0=1 and g1=f1=1

Q: 3. lim(5 1) x-0 Q2/ Find the derivative of the function f (x) v4 -x by definition !3!

A: When limit is of the form 00or ∞∞ then L Hospital's rule is used . In this rule, take derivative of…

Q: Ceka that passes through the Find and sketch an exponential equation of the form y = points (0, 8)…

A: Substitute the values of (x,y) in the function given and find out the equation.

Q: 25310+5 25802.20 Evaluate the derivative of the given function at the given point. SHOW ALL WORK.…

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Q: Using Leibniz find the third derivative of the following function y = e2a Inx

A: The Leibniz formula expresses the derivative on nth order of the product of two functions. Suppose…

Q: 1. Centered-difference formula for the second derivative with one independent variable x y (x + h) –…

A: Claim: y''(x) = y(x+h)-2y(x)+y(x-h)h2-h212y(4)(ς) It is known that y = (x-∆x) =y(x) -∆xy'(x)…

Q: 100 The derivative of the function 1 is equal to ecos z

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Q: 1. Create your own function f(x) of the form F (x) = f (x)·g (x). In other words, F(x) is a product…

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

Q: 8.) f(x) = !

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Q: Q1: Find the value of the constant K if the function 4-x is continuous at x=2. f(x) ={3- Vx +5 [K ;x…

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Q: a, b, and I are differentiable functions of the same variable what is the derivative of H ac b +…

A: To find the derivative of acb, here a,b and c are differentiable function of same variable. Let a,b…

Q: (3) A wire 10 cm long is cut into two pieces, one of length x and the other of length 10 - x. Each…

A: Length of wire = 10 cm

Q: 24. What is the derivative of any constant? A) constant itself B) always zero C) D) always one…

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Q: 9. The derivative of a given function f(z) is f'(2) = z² - 2. a) What are the critical points of…

A: To solve the following

Q: 8. y = -5 e3x^2, 2nd derivative 9. y = 7 In 7x, 2nd derivative 10. y = -3 cot 2x, 2nd derivative

A: Question 8,Given,            y=-5e3x2To find : Determine the 2nd derivative of the given function.

Q: derivative of e^ax+b by first principle

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Q: e3x _e-3x Y = e3x +e-3x]

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Q: 3) (a) Let f(x) = -x²-x. Use definition of the derivative Equation 3.4 to compute f'(x). (No other…

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Q: 12. The Definition of the Derivative Find the formula for the instantaneous rate of change of f(x) =…

A: Given:

Q: 6/5 (3 - x). x5/6 The derivative of the function y = In is y' = %3D

A: we have to find derivative

Q: True of False: Derivative of (arctan(e^(-x^2))) = [-2xe^(-x^2)] / [1 + e^(-2x^2)] Show your…

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Q: _3. The equation of the tangent line to the function f(x)=-- at (-5,) is x-3 7. y = x- 25 1 25 4.…

A: Topic:- function and derivatives

Q: (2+2)5 Find the derivative of f(z) = 2-i

A: We will use the formula uv' = vu'-uv'v2 Given f(z) = (z+2)5z-i

Q: Using Leibniz find the third derivative of the following function y=x2cos3x Find the local…

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Q: = (x2 +x – 12). Use the second- 1. Determine the a-values where relative extrema occur for y…

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Q: 9. (a) Use the definition of the derivative to find the derivative of function f (a) = 2a2 (b) Find…

A: Please refer the attached image for complete solution.

Q: 1 7. Let f(x) %3D (a) Use the definition of the derivative to find f'(x). If you don't know how to…

A: Given function is : fx=1x

Q: 2 6. Consider f(x) x + 1 a. Find f'(x) using the formal definition of the derivative. b. Find the…

A: Solve the function

Q: 1. On what instance does the Chain Rule of differentiation applicable? Explain briefly. 2. How does…

A: Recall; COMPOSITE FUNCTION:  A Composite function is generally a function that is written inside…

Q: 9. (a) Use the definition of the derivative to find the derivative of function f (z) = 2r2 (b) Find…

A: The given function is fx=2x2. a. Calculate the derivative by using the definition of the derivative.…

Q: 2-(i) Suppose that we know that f(x) is continuous and differentiable on [6,15). Lets also suppose…

A: 2) Suppose that we knw that f(x) is continuous and differentiable on[6, 15]. Also, suppose that we…

Q: Leth(x) = arctan(x2+ 2x). Find all critical values (if any) ofhand use the second derivative test…

A: Explanation of the solution is given below...

Q: A differentiable function has the value y(-3) = 2 and the derivative value y'(-3) = 1. Approximate…

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Q: 2. Use the definition of the derivative to find the first and second derivatives of the function. 1…

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Q: Find the first derivative of  y with respect to x (y') of the given function using rules for…

A: To find: The derivative of y with respect to x. Given: The values are y=U2-1U2+1 and U=x2+23.…

Q: Find the derivative of the function. g(x) = (1 + 5x)5(2 + x − x2)6

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Q: The approximate value of the derivative of a function f(x) using centered difference approximation…

A: The derivative is the instantaneous rate of change of a function with respect to one of its…

Q: 5. (No Calculator. Show all your work) Find the derivative of the function. (a) f(x) = tan(x³) – cos…

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Q: 2. 1950, a seed was planted same as the year as Jilian was born. When she celebrated her debut, the…

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Q: Find the derivative of y = log7 (2 -3x) .

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Q: III. CHOOSE ONE PROBLEM AND SOLVE USING THE CONCEPT OF DERIVATIVE OR DIFFERENTIAL OF A FUNCTION. 7.…

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Q: 6 on the interval [- 3,3]. x² +6 Find the absolute extrema of the function f(x) = Find the second…

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