1 14) Use the definition of derivative to find dx 3- х.

Q: Find the derivative of fl6)-32" ). (v²+5) tan (5x

A:

Q: FIND THE SECOND DERIVATIVE OF THE FF IN ITS SIMPLIFIED FORM 2. y = 2 Arccos (1-x/2)+ Square root of…

A: Second order derivative.

Q: How to find the derivative of d/dx [(x^2-6)(2x^2+5x)]

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Q: (1 point) Find the derivative of the following function F(x) = (2t – – 1)³ dt

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Q: Compute the derivative. y = sin (4 / θ )

A: The chain rule of differentiation is used to find the derivative of a composite function and given…

Q: Find the derivative. h(x) = In(cosh(7x)) h'(x) =

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Q: Find the 50th derivative of y = cos 2x

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Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: Find the derivative of 2 cos x 1. f(x) x+1

A: As we know that: The Power rule: ddxxn=nxn-1 The Quotient rule: fg'=f'·g-g'·fg2 Given: fx=2cosxx+1

Q: compute the derivative y = sin(2x) cos2 x

A: Given y=sin(2x)cos2x The product rule of derivative is given by:

Q: 14. f(x) =(In x)* 3. 15. Н(х) 3D

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Q: Find the derivatives of the functions in Exercis y = (1 + 2x)e-2x

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Q: Which is the derivative of y= sin (x2-2x + 1)? (2х -2) (2x-2)Cos(x²-2x + 1)

A: We have to find derivative

Q: Evaluate the derivative of the function. y= sec "(2 In 8x) dx

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Q: Find the derivative of Screen Shot 2021-10-05 at 7.41.38 AM.png In sin-1 -1(X` 2, y = e

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Q: 4. Find the derivative of g(x) = e5" sin(-x). Do not simplify.

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Q: 2) Find the derivative of the function f(x) = (x³ – tan(4x² – 2)* |

A: Given :            To find the derivative of the given function                f(x) = x3 -…

Q: compute the derivative. y = sin(2x) cos2 x

A: We can find the derivative of this function by using the product rule of differentiation . According…

Q: y = sec (2 – 3x)

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Q: if the derivative of x2sinx+2xcosx-sinx  is (Ax2+B)(cos(C(x/2))). FInd the value of A, B, and C.

A: Given: x2sinx+2xcosx-sinx Differentiate the equation.…

Q: Find the derivative. [미 In dx x +3 x-3

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Q: Find the derivative of: y? – 4x = 0 at point (4,4)

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Q: h(x) = V1+ sin(3x²) %3D

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Q: find the derivative for  h(x) = 3e ^ -x * ln(2x+1)

A: Using product rule of derivative In order to solve the given problem.

Q: 2 Find the derivative of: 9/x + 4x – 2 - - d 2 + 4x - - dx II

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Q: what is the derivative of this question with solution y= csc (4x² ) Arccsc (4x² )

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Q: Example 2: by using the definition of the derivative, find dy/dx of the function y = 5x + 8x - 3x +4

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Q: sin(32 + 2')| y = (6 – 2^)3

A: As we know that: The Power rule:ddxxn=nxn-1The chain rule:fgx'=f'gx·g'xThe Quotient…

Q: In (1 + 2), What is the derivative of y .? e2z %3D

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Q: Determine the first derivative of the ff. function y = 400(2)*+3 sin 3x

A: Given: y=4002x+3 sin 3x To Find: First derivative of the given function

Q: 1. Evaluate the derivative of f (x)= sec(In(x²)). DO NOT SIMPLIFY.

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Q: ) .3 Find the derivative of h(x) = cos (2x – 5 %3D

A: Given,            hx=cos42x3-5To find : The derivative of the given function.

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

A: Consider  y=2x3tan3x+12

Q: Example 2: by using the definition of the derivative, find dy/dx of the function y 5x' + 8x - 3x +4

A: We can use definition of limit In order to solve the given problem.

Q: find the derivative of sin (ax + b) cos (cx + d) CX

A: According to product rule of differentiation ,and according to chain rule of differentiation ,.

Q: what is the first derivative of cosx^2(x^2+2)

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Q: Solve for the derivative of the function using chain rule. 7. f(x)= sin(e3x)

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Q: Solve for the derivative of the function using chain rule. 8. f(x)= sin (2x)cos (3x)

A: Given problem:- Solve for the derivative of the function using chain rule.   8.     f(x)= sin…

Q: 3. Find the derivative of h()= 5²°-2z-1 %3D

A: We have to find derivative

Q: Find the derivative of h(x) = sin2x

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Q: Which is the derivative of y= sin (x2-2x + 1)? О 2х-2) (2x-2)Cos(x²-2x + 1) O Option 2

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Q: find the derivative of f(x)=(x^4+3x^2+8)cos

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Q: What is the derivative of cy = 2 - a°y ?

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Q: 13 Find the secord derivative cy") y= x°+3x - when

A: see below the answer submit the q12 with what to do with the question

Q: 1. Use implicit differentiation to find the slope and equation of the tangent line given f(x) = x³…

A: Given function is  f(x) = x^3+y^3-9  According to Bartley guidelines we can attempt only one…

Q: What is the derivative of y = etan-1 2x 2

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Q: и а. у %3D 1-и. HIN

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Q: 8) Find the first derivative of f (x) = sin 2 (x3).

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Q: Example 2.35: Using Implicit Differentiation to Find a Second Derivative d'y dx Find if x +y² = 25.

A: Explanation of the answer is as follows

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: