12 x+6x?+3x 5. f(x) = 3x Vズ-3 6. f(x) = ズー9

Q: Find the derivative of y = x3 – 6x², using first principle.

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Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

Q: What is the derivative of y = 3x²tan-1(x)?

A: ddxxn=n xn-1ddxtan-1x=11+x2 One have to use product rule here, which is ddx(uv)=vddxu+uddxv

Q: z (y/)° = y

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Q: FInd the derivative of y=(5x-3)5(2-x4)5

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: 5. Find the derivative by using the quotient rule. 3x - 2 (a) 2x +3 V+2 (c)- 3+2x (b) x +1 x+2 (d):

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Q: I FIND THE INDICATED DERIVATIVE IN ITS SIMPLIFIED FORM: 2. Y = (7x³ + 3)6 ; y"

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Q: 12 x+6x?+3x 4. f(x) = 3x

A: We have to find

Q: Find the derivative of the function. Express it using positive exponents only. y…

A: For power 3, use the power rule. Then use the chain rule

Q: Find the derivative.

A: Given: To find the derivative of y=2x-3-xx

Q: Find the derivative of the function. Provide the solution in factored form. f(x) = 2x(x³ – 2)6 %3D

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Q: 4x +2 x-12 7. f(x) = 2x

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Q: Find first and second derivative of y=x(x-4)^3

A: Given function is  y=xx-43 To find derivative product rule is used duvdx=vdudx+udvdx So the first…

Q: What is the fourth derivative? x^12+1

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Q: y = csch /sec(x³ + 2)

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Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: Q#2. By definition find derivative of (2x+3)/4.

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Q: What is the derivative of * 3 = 4.x2 + 2y3?

A: We have to find the derivative of 3=4x2+2y3.

Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: Solve using a derivative y= 2x tan (3X+1)}" 3. 2.

A: Consider  y=2x3tan3x+12

Q: Find the second derivative. y = 7x2 - V2 y" =

A: Given that y=7x2-x27 y=7x2-x217=7x2-x27 find the first derivative…

Q: Find the derivative of g(x) = 6 + 8x4 at x = 1. ANSWER: g (1) = (Again, your final answer should be…

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

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Q: Find the derivative using the definition 2х-3 y = 3x-2 What is the solution if the answer is: 2х-3…

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Q: Find the second derivative in its simplified form. y=(7x^3 + 3)^6

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Q: If f(x)=4sinx-x^3, what is the second derivative of f?

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Q: 3. What is the FIRST derivative of the given function? y = 3x³ - 2x² + x - √√2

A: Given,            y=3x3-2x2+x-2To find : What is the first derivative of the given function.

Q: Find the derivative of h(x)=1/(−3x^2+3x−2)^3. may leave answer in factored form.

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Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2…

Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

Q: Vx-3 6. f(x) = X-9

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

A: Given function

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: 1. f(x)= Vx3 + 2x² + 3

A: topic - second order derivatives

Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: Y = (3x° + 2)4 ;y"

A: Solution: Consider the given that: Y = 3x3+24 We know that the derivative of the function y =…

Q: What is the derivative of (x^2+1)^x?

A: Use the lograthim to find the derivative of given expression.

Q: Draw the function x = 2y-y2 by using the tools of derivatives?

A: The given function isx=2y-y2.

Q: Find the derivative of y =x°+x°. -3+5 Give your answer with positive exponents.

A: Given function :

Q: us to find the derivative of x) = Vt3 + 27dt -3

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Q: Find the first derivative of y=arctan⁴(3x⁵)

A: Find the first derivative of y=arctan⁴(3x⁵)

Q: Determine the second derivative of the given equation 2x³ - y² = 1- 4y

A: second derivative

Q: Find the derivative, but do not simplify your answer. y = (7x6 – 5x* + 2x² – 1)(4x° + 3x7 - 5x2 +…

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Q: (2+x)2, how do I find the derivative?

A: The given function is  y = f(x) = (2 +x)2