Find the derivative of the function. y (x + 1) coth) x-Cch

Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y= xVx-2…

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Q: Evaluate the derivative of the function at the given point. y = t= -3 7t +1' y' =(Type an integer or…

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Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

A: For   y = f(x) At  point (x1, y1) equation of the line tangent =>  (y - y1) = m(x - x1) m = slope…

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

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Q: Find the derivative of the function. h(t) = 3 cot-(t) + 3 cot" h'(t) =

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Q: (a) Find the derivative of the function f(x) = S %3D ex-1 (b) Find the derivative of the function…

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Q: Find the derivative of the function. 9(t) - t2 g'(t) »

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Q: Find the derivative of the function. y = x?e* - 2xe* + 9e* y' =

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: Find the derivative of the function. g(t) = e-t/1+t2   g '(t) =

A: Let us assume u and v. Then find u' and v'

Q: 7) Find the derivative of each function a) y=x'e

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Q: 2. Find the derivative of function y (y is a function of p). y = eP(p + PVp)

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Q: Find the derivative of y with respect to the independent variable. 6- e y=t O A. (6- ers-e O B. (5-…

A: The derivative of xn is given as,ddx(xn)=nxn-1

Q: 3. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: Given function is f(x)=2x+3 find the equation of tangent lines at x=-1 and 2

Q: Find the derivative of the function below using the definition of the derivative. f(æ) = /T– 2x

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Q: Find the derivative of the function using the definition of derivative. G(t) =  1 − 5t 4 + t

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Q: Find the derivative of the function at P, in the direction of A. f(x,y) — - Зху + 4y*, Po(-6, - 5),…

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Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: f(x) = x2 - 4x + 7; x = 3/2, x = 2. Solve, a. Find the derivative of f at x. That is, find f′(x). b.…

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Q: The sketch of y = (x) is shown below. Which of the following is the sketch of the derivative…

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Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

A: Given function is fx=3x2+2x-10 Differentiating the given function with respect to x,…

Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

A: Given: fx=x+2 & a=7 To determine: a) Derivative of given function  b) An equation of the line…

Q: Find the derivative of the function. g(t) = e-1/t9 | %3D

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

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Q: Find the derivative of the function. s(x) = (x? - 1 s'(x) =

A: Given: s(x)=xx2−1x

Q: e°+7x , + In(Vx y =

A: on doing differentiation with respect to x we get  dy/dx=e^(x^3+7x)d/dx(x^3+7x)+1/√x.d/dx(√x)…

Q: Evaluate the derivative of the function at the given point. 1 y%3D 4t + 9 .t%3D2 (Type an integer or…

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Q: Find the derivative of the function. y = x2e−8x

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Q: Find the derivative of ?=1?‾‾√y=1x. (The correct answer might not be in simplified form.)

A: Explanation and solutions is given below....

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: f(x)=2x+3 at the points x=-1 and x=2

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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

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Q: 1. Using the definition of derivative, find the derivative of the following functions: (a) y = xvx²…

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Q: csc x The derivative of the function y = at x = 1 is equal to

A: We use the quotient rule

Q: Find the first derivative of y with respect to x (y') of the given function.

A: Given function is  : x2y-xy2+x2+y2=0

Q: a. Find the derivative function f' for the function f. b. Determine an equation of the line tangent…

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Q: Find the derivative function ƒ′ for the following functions ƒ.b. Find an equation of the line…

A: We have to find: a derivative of the function and b equation of line tangent to the graph of f at a,…

Q: Find the derivative of the function. h(t) = - (²²) ² h'(t) =

A: We have to find derivative

Q: Find the first, second, and third derivative of the following function. g(z) = 1

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Q: derivative of the function using the definition of derivative: g(t)=5/√ t

A: Given query is to find the derivative using definition of derivative.

Q: B. Find the derivative of the following functions, then use the derivatives to find the equa of the…

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Q: The picture below shows the graph y = f'(x) of the derivative of a function y = f(x).

A: When the graph of the derivative y=f'(x) is increasing, the function y=f(x) is concave up. When the…

Q: Using the definition of derivative, find the derivative of the following functions: 1 (c) y= 2x (a)…

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Q: Find the derivatives of the function r = (csc θ + cot θ)-1

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

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Q: Ose the definition of a derivative to the derivative of the following functions. x + 3 h(x) %3D 2x -…

A: Recall: Definition of the derivative : f'(x) = limh→0f(x+h)-f(x)h Quotient Rule of differentiation…

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

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Q: x2 + 1 x' + Find the derivative of the function f(x) = In

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Q: Find the derivative of the following function: y=1-x/√2-x

A: Given: y = 1-x2-x To find: Derivative of the given function.

Q: Using the definition of derivative, find the derivative of the following functions: (a) y=F-2 (b) y=…

A: d(xn)dx=nxn-1 is basic formula