a. Find the derivative function f' for the function f. b. Find an equation of the line tangent to the graph of f at (a,f(a)) for the given value of a. f(x) = 2x2 + x- 1, a= - 1 %D

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: 1. Determine the derivative for y = | a. d. 中正中正 中正中正

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Q: Find the derivative of ywith respect to x in the following functions: 18x y (ans.: (3x-2 a) y= and…

A: Derivative of uv uv' = u'v-v'uv2

Q: Find the derivative of the following function. y (In ]x + 4|)7 dy

A: Differentiate w.r.t to x

Q: F(y) = In(1 – 5y² +y³)

A: Topic = Derivative

Q: Find the derivative of the function.

A: Given, To evaluate derivative

Q: find the derivative of y with respect to the givenindependent variable. y = t1-e

A: In this equation the independent variable is t So we will differentiate with respect to t

Q: Find the derivative of the function

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Q: - 3x Find the derivative of y with respect to x if y = e

A:

Q: 6. h(x) = 5cos(a)

A: Given function is hx=5cosx To find: Derivative of given function. Solution: Function is hx=5cosx…

Q: Find the derivative of the function. (x) = e+2 + 3 f'(x) : II

A:

Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: Find the derivative of the function y = √(e2x + e−2x)

A:

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 the function.

A:

Q: Find the derivative of the function f(x) = ln(e" + 5).

A: We have to find the derivative of the function -          f(x)=ln(ex+5) Here , we will use the…

Q: - 17x Find the derivative of y with respect to x if y = e 口

A:

Q: Find the fourth order of derivatives of the following functions y=ln x y= X^1/2

A: The objective is to find the fourth order derivative of rhe given functions.

Q: Find the second derivative of the following function at x = 2 y = (x +) 2 G+x)

A: Given function is y=x+1x2

Q: Find the derivative of the following function.: y=ln(x2+4)2π

A: The given function is,

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

A: Given: y=e-8x we know that ddxekx=kekx

Q: (b) Find a general expression for dy - (x), the (implicit) derivative of y with respect to x, as a…

A: given rθ=2+2cos2θ   for θ∈[0,2π) (b) find a general expression for dydx let  x=rcosθy=rsinθ…

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 of the following functions.

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Q: Find the derivative of the function.

A: Given function is y=2ex+e-x Chain rule of differentiation states that: ddxfgx=f'gx g'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 y = In(5e – 9xe "). y = ||

A:

Q: Find the derivative of the following function. y =x° (3- In x®) dy dx II

A: Given function is y=x53-lnx5. To find the derivative of the function. Solution: Power rule of…

Q: Determine the derivative of the given function: ソ=c 3 y = e x2

A:

Q: Find the derivative of the function. y = e In(7x)

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Q: Find the derivative of the function.

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Q: (12) Find the derivative of the function Y = cos (a³ + x³)

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Q: Find the derivative of the function.

A: First, we expand using properties of log

Q: Find the derivative of y with respect to x. y=log(base)5 e^7x

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Q: Find the derivative of the function. y = cos(a + x*) У (x) %3

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Q: 4 a. Use implicit differentiation to find the derivative dy/dx of the given function. b. Find the…

A: The objective is to find the derivative and slope at the point .

Q: Determine the value of the derivative of the function stated below, at x = 1. d "2х-1 4 dx \ x+2

A: The given function is: f(x)=2x-1x+24

Q: B) Find derivative of the following function d dx 6tanz

A: A detailed solution is given below.

Q: g. y = x e 2x h. y = 4sin 2x

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Q: The derivative of the function y = e¯- is

A: Finding the derivative of the following function:

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 following functions at a given point x= a (g) f(x)=- a=4.

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Q: Find the derivative of f(t) = e+1

A: Given :

Q: Q2: - Find the second derivative of the following function at x = 2 1) y=+ V

A: ddx1x = -1x2 ddxxn = nxn-1 ddxx =12x

Q: Find the derivative of the following functions. (x² + 5° e 2x a. y = In(-

A: Differentiation is given below

Q: Q1/ Find the derivative of the following functions: where x>0,x #1 a- y = x** x√√2x+1 b- y = exsin…

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Q: Find the derivative of the function. y = a 3 + cos 3 x)

A: Given: y=a3+cos3x

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

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Q: 3. Find the derivative of y with respect to the appropriate variable. x y= 6sinh :

A: Solution: y=6sinhx3

Q: Find the derivative of y with respect to the given independent variable. e* cos' x (1) y= x+1

A: