3x2+7 Let h( x Calculate the derivative and simplify. 4+5x

Q: A1) Using the definition of derivative, find the derivative of f(x) = x² + 7x + 7.

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Q: Use the chain rule to find the derivative of 12 3(-10x + 8x") You do not need to expand out your…

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Q: f(x) = 7.5x2 - x + 4.7 (a) Find the derivative of the function using the definition of derivative.…

A: The given function is f(x)=7.5x2-x+4.7A) Here Differentiate above function w.r.t.x…

Q: 6x + 2 Find the derivative of the function y and simplify the 5z - 8

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Q: Find the derivative: n[(x³ + 2) (x² + 3)].

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Q: Find the derivative of the function. y = 11x5 − 6x3 + 2x − 9

A: The given function is  y = 11x5 − 6x3 + 2x − 9

Q: Use the General Power Rule to find the derivative of the function. y = (3x4 + 4)2

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Q: 4sinx-3 2. Find the first derivative of y=150xcos (10x)+ 9In(V16-x)

A: Since you have asked multiple questions. So, we are solving only 1 for you. If you want more…

Q: A1) Using the definition of derivative, find the derivative of f(x) = x2 + 8x + 8.

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Q: Use the second derivative to discuss concavity. The second derivative is y’’ ={2x(x2+3)}/ (x2-1)3

A: given,  y''=2xx2+3x2-13 we have to discuss the concavity using second derivative.

Q: Use the General Power Rule to find the derivative of the function. y = 12 3 4x2 + 7 y' =

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Q: Find the derivative of the function. 2 - 58 - xả x-6 f'(x) = f(x) = 52x + 8x + 30 (x-6)² Submit…

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Q: 3x' +2Vx For the function F(x)= find the first derivative and simplify.

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Q: Use the Chain Rule to find the derivative of the function. y = (2x? - 9)

A: Answer and explanation is given below...

Q: Q.2. Find the Derivative 5 g(x)=12x4 -6/x+ a) g(x)=(x² – 5)(x³ +3) h)

A: Q.2 Find the derivative.a) gx=12x4-6x+5xb) gx=x2-5x3+3 Formulae to be used…

Q: Find the derivative.

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Q: Determine the derivative of the function g(x) = ex^2 - e(2x-5). Do not simplify your answer.

A: The given function is gx=ex2-e2x-5. Find the derivative of the given function. Here we use the…

Q: Use the product rule to find the derivative of (- 72° – 4x10) (5e² + 4) | Use e^x for e". You do not…

A: This question is related to differentiation, We will solve it using given information.

Q: fx) x3=f 2x2-1=4 find derivative t'x) ニ 4X ニ0 (2x2-1) てメり(ス切)ー ピ(メ) て)(火カーX9

A: The given function is fx=x32x2-1

Q: go 6+5sinx)

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Q: Use the quotient rule to find the derivative of the following. x² - 9x +1 y= x? +9 y' =O

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Q: Complete detailed solution. What is the derivative of f(x)= 1 (2²-²-x) (-1+√x²) X x+1

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Q: Find the derivative of the function Y=5x^2-8x-8x^-2

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Q: Complete detailed solution. What is the derivative of 1 1(x) = (2+²+ -x)(-+1+√x²) x+1

A: To determine the derivative of fx=12x-2-x-1+x4x+1

Q: 3x +1 Find the derivative of the function y and simplify the answer= 7x - 2

A: it will be solved by uvrule which is:   let y=uv then dydx=vdudx-udvdxv2

Q: 2x2 – x +2 Find the derivative f'(x) by hand when f(x) = 12x + 7 f'(x) =

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Q: Find the derivative, bùt do not simplify your answer. y = (5x6 - 3x4 + 2x2 – 1)(4x° + 3x7 - 5x2 +…

A: y'=?

Q: Find derivative by Quotient Rule and by simplifying first.

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Q: Find the third derivative. y = x5 − 10x3 + 13

A: we use derivative of xn= nxn-1

Q: Calculate the derivative. f(x) = (4e* – 5x²) (x³ + 1) %3D (Use symbolic notation and fractions where…

A: We have to find derivative of given function.

Q: x2 -4 b) By use derivative sketch the function f(x) %3D 2x

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Q: Calculate the derivative. f(x) = 6 - 9x¹/3 +9ex (Use symbolic notation and fractions where needed.)

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Q: Use the Chain Rule to find the derivative of the function. y = (4x2 − 5)3 y' =

A: Solved below

Q: +7V + - 5x + 6. Find the derivative of y = 9 - 5х + 6.

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Q: 35x° - 5x4 + 5 - Find the derivative of: 5x? Type your answer without negative exponents. Simplify…

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Q: Use the chain rule to find the derivative of 5(– 3a10 – 9a*)5 3x10 You do not need to expand out…

A: Given that: y=5(-3x10-9x4)15

Q: 24x4 – 12a5 – 6 Find the derivative of: 6x? Type your answer without negative exponents. Simplify…

A: Given: fx=24x4-12x5-66x2

Q: (2x+8)? 8x2+15 Find the derivative of the function f (x)

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Q: 8x Use the alternative formula for the derivative to find the derivative of f(x) = x-9 ...

A: We have to find derivative by using alternative formula.

Q: Using the derivative 12x2  find the value of x=2 and x=4

A: ddx(12x^2)=?

Q: Find the derivative of the function, y (7x + 5)(x -2x) Need Help? Read Weich 13. I- Find the…

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Q: 4. find the derivative 4v².4+ [7v¹.5-3v-2 Enter your answer

A: Given  Let y= (4v^2).4+(7v)^1.5 - 3v -2 y= 16v^2 + (7v)^1.5 -3v -2 Formula: (d(x^n)/dx) = n(x^(n-1))…

Q: 12x7 + 42x6 18 - Find the derivative of: 6x2

A: The function is 12x7+42x6-186x2. Find the derivative of the function using quotient rule as follows.…

Q: SK A. ACTIVITY: Solve for the derivative of the following, show your solution 1. f(x) = 2x3- 7x + 1…

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Q: Fx 4x2cos x find the derivative of fx

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Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: 8x-3 Calculate the derivative and simplify M(x) 7+x

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Q: f (x) = 5x³ – 3x? + 10x – 5 , find the fourth derivative f(4)(x) If - Select one: о а. 30х b. 0 С. Х…

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Q: gtx) 6x - 7; h(x) 1.7* Find the derivative of f(x) g(x) h(x).

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: