1. If function, f(x) = 6e + 5π, then, the derivative of the function, f'(x) is:    2. What is the derivative of the function f(x) = (2x3-3x2 + 2x - 7) ?

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

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Q: When f(0)=0 and f(pi)=0, what is the derivative of the function  7e^x + 6sin(x), and what is the…

A: Let the given function be:Applying the derivative with respect to x:Derivative of ex is ex and the…

Q: diy in terms of x and y. dz² ニ 86

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Q: 2. Use rules of differentiation to find the derivative of the function 5a° (x- +3) g(x) = x2 +1 Show…

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Q: The derivative of the function f is defined by f'(x) = (x² + 2) sin (2x − 2). If ƒ (2) = 7, what is…

A: answer is in next step. please give a like!!

Q: What can we use to find the derivative of a function when it is impossible or difficult to isolate y…

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Q: 1. Explain two different ways to solve for the derivative of s(0) = 200sin cose

A: The given function is : s(θ)=200sinθcosθ We need to find the derivative in two ways.

Q: 9. y+ v2x – 15 = sec-1 when x = 12 3. %3D

A: We have to find

Q: 14) Find the first derivative of f(x)= 2*2*

A: The derivative of ax is axlna. The derivative of xn is nxn-1, where n is any integer. The chain rule…

Q: y = In (x+2), (х-1)2

A: Given that: y=lnx3x+2x-12

Q: 2) Find the first derivative: a) y = cot * (3x² +7)

A: Differentiate wrt x

Q: fx て (X)

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Q: 7.) f (x)> (3x+2)(5x-2)

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Q: te 2. 2t t.

A: Given,            y =tet + 2e2t + 1  To Find: Derivative of above

Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: Find the derivatives of the function f(x) from the first principle x*+4

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Q: Find the derivative of y with respect to x. y = cos1 (5x2 + 4) 10x + (5x2 + 4)2 -10x Vi- (5x2 + 4)?…

A: The given function is  y= cos-1(5x2+4)  We have to find the derivative of this function w.r.t. x

Q: Find the derivative Of U-5

A: Derivative of integration

Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: Suppose x and y are variable (y is a function of x) that satisfy the equation Sin(x+y)=xy, What is…

A: To find the derivative of y with respect to x

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: derivative of g(x)= intergral from 1 to root x, (z^2)/z^4+1

A: ddx∫1xz2z4+1dz

Q: 2. What is the equation of the tangent line to the curve y = x? - 2x +1 at point (3,4)? а. у3 2x — 2…

A: The equation of line is y-y1=mx-x1, where m is the slope of the curve.

Q: Find the derivative of the following function. You must show work for this problem. et 8(x) = x2 + 1

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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: What role does the denominator of f'(x) play in finding the critical points (in other words, what do…

A: The given data is: f'x

Q: 1 5. X: t-1

A: Given x=1t-1, y=tt2-1

Q: Calculus 11th Edition - Ron Larson Please assist with the question below. Please show &…

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Q: Find the derivative of the function. f(x) = 4 3√x + 2cos x

A: The given function is ; f(x)=4/3sqrt(x) +2Cosx.

Q: Find the derivative of y = csc¯(In sin (x))

A: use simple integration formula.

Q: 3. Find the derivative of f(x). (a) f(x) = e cos x (b) f(x) = (2x³ 4x-¹) cotx -

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Q: Find the derivative of the function. f(x) 4. + 2cos x %3D

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Q: al derivative using your own words.

A: We have to define the directional derivative

Q: I am confused how to set this up so that I take the derivative of each side. y=7 sin^−1(x^3)

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Q: For some equations, such as x2 + y2 = 1 or x - y2 = 0, it ispossible to solve for y and then…

A: Implicit differentiation is usually a more efficient method for calculating the derivative of a…

Q: 1) Find the second derivative of f (x) = 24 . %3D

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Q: x3+6x-2 dx x4+6x2

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Q: If we need to calculate the derivative of a function at a point, there are two ways we can think…

A: Given: gx=x-x2

Q: Differentiate the functions: 1. y = 3x – Vx 2. y = 2 – 3x – 3. Given the function f(x) = x³ – 5x +…

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Q: The derivative of the function f is defined by f'(x) = (x² + 2) sin (2x − 2) . If ƒ (2) = 7, what is…

A: Given f'x=x2+2 sin2x-2. Also given f(2) = 7.   To Find: The absolute minimum value of the function f…

Q: 1. What is the derivative of f(x) = x2 – 8x + 12 when you illustrate using tangent? 2. What is the…

A: Note: As per our company guidelines we are supposed to answer the first three sub-parts of the…

Q: y = – 1/1+ Vx 3

A: Here we will find the derivative,

Q: h(x) = sin 2x cos 2x

A: Product Rule of differentiation: If fx  and  gx are any two differentiable functions, then…

Q: Find the derivative of the function. 10 f(x) = 3 + 4cos x %3D

A: Given that fx=10x3+4cosxTo find its derivative

Q: 1) Find the derivative of the function: (3х — 1)3 Vx* — 1 f(x) = cos² x

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

Q: how do i find the derivative of this but not simplified  y= (x^2+x+6)(x^1/3-2x^1/2+1)

A: To determine the derivative of the function.