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Q: tind he derivative OR the hunchon f by usine 2x-4つtu

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Q: Use mathematical induction to prove that the derivative of f (x) = xn equals nxn−1 whenever n is a…

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Q: Find The derivative of The functiin' toy do not nud to Simpliy The answer' y= arcscc (In 69) +…

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Q: compute the derivative

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Q: 8ubject find the derivative of the follow tangx

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Q: b) g'(x) where g(x) = x -5x+7

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Q: The order of diff. eq. is the high *.derivative that acquire in DE True

A: The order of DE is the highest derivative that acquire in DE = ?

Q: Find the derivative of the function f(x) = In(2a? + 5æ)

A: ddxln (x)=1xddxxn= n xn-1

Q: Find f'( using derivative rules. 1) メー4

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Q: 6) Find The derivative of yo

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Q: Find the equation of the tangent line at (3, f (3)) when f (3) = 20 and f' (3) = 4. (Use symbolic…

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Q: =[in(4-x cos (r4

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Q: Use the limit definition of derivative to compute the derivative of ​f(x)equals=44xcubed3. Find…

A: From the given information:

Q: Find the derivative using the appropriate rule or combination of rules.

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Q: find the derivative using the appropriate rule or combination of rules. y = cot7(x5)

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Q: compute the derivative. r(1) = (7 – 1, 4 ī, 8)

A: The given function is rt=7-t,4t,8.

Q: . Find the derivative. Hint: simplify before differentia 1 а. у — (4x)3 Gac3 122 2a4 L 1

A: Since multiple questions are asked I am answering first

Q: use the general power rule or the shifting and scaling rule to compute the derivative  Y= cos4(ϴ+6)

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Q: (18) Find the derivative of the functio 2²+5 3 Y=2²-5 Nor me it to Vitou inst

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Q: Compute the derivative using derivative rules. y = (9 - (5 - 2x4)7)3

A: Given : y = (9 - (5 - 2x4)7)3   To find the derivative.

Q: Find the derivative of by using the product rule. " 3 (1+ v=) (- - 25) 3 11 3 -3x 3 option 4 Option…

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Q: Use the Power Rule to compute the derivative: I-13

A: Solution...

Q: メ-しリ ニ X² ty2

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Q: 5z2 + 13z/2 137/2 g(z) = 522

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Q: et + 6x Compute the derivative of -3 -2x (simplification not necessary)

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Q: Find the derivative Of 2x² usino efinition of The derivative -SPF pjest W

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Q: Find the derivative using the methods of Example 6 in the text. y = x8x y =

A: Consider the equation y=x8x We have to find the derivative of y=x8x Taking logarithmic both the…

Q: 84. Use the definition of the derivative to directly prove thedifferentiation rules for constant and…

A: The definition of derivative states that: f'x=limh→0fx+h-fxh Let the function be fx=c, where c is a…

Q: リ=(4メ-0113メす2

A: We are given: y=(4x-1)(3x+2) We need to differentiate this with respect to ' x ' This can be done as…

Q: Which derivative is approximated by

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Q: Use the limit definition of the derivative to compute Vx when x = 9. Hint: use the u substitution u…

A: To find the derivative of sqrt(x) using the definition of derivative After that put x = 9

Q: Find the derivative using Implicit differen tiation 3 %3D 3xy? 2

A: Given: x3+y3=3xy2 We have to differentiate above equation using implicit differentiation. In…

Q: Find the derivative of ?(?) =5/13sin2(5?). using the chain rule

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Q: Find the equation of the tangent line at (3, f(3)) when f(3) 17 and f' (3) = 4. (Use symbolic…

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Q: Use derivative to show that fx)= In(x²1) %3D is one-to-one.

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Q: 4 3. Лх) — Зх - 5 %3D

A: Given that  f(x)=4/(3x-5)^2  To find the derivative of f(x)

Q: Find derivative х3 — ху? + у3 1

A: In implicit differentiation on differentiating y, we need to use dy/dx

Q: find the derivative using the appropriate rule or combination of rules.

A: Write y using exponents

Q: 2. Using the definition of derivative, prove the following: (a) f)=- if fo)-V

A: Find the attachment

Q: Insin(5)4**

A: Given:   To determine: dy/dx

Q: Find the derivative. 5+ sec q 5- sec q

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Q: determine whether each staement is true or false "every elementary function has a an elementary"…

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Q: Use the ħndanental Theorem Ot calculus part I to find the derivative Of hx)=

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Q: Use the alternative form of the derivative to find the derivative at x = c (if it exists). (If the…

A: We will solve by using alternative form of derivative as shown below

Q: compute the derivative. 19. y=(2cosθ+5sinθ)9

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Q: x +4 3. y = [- (x2+1)7 :3

A: Given that y=x+4x2+13 Simplifying we get y=x+43x2+132

Q: Use the definition of the derivative to find fx) where f(x)=- 1-x? 1

A: To find the derivative of f(x) using the definition of the derivative.

Q: Find the derivative of the function without using the Quotient Rule. y = 63 8(x)10

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Q: Use the Fundamental Theorem of Calculus to find the derivative. g'(x). of the unction

A: Use simple method of funda mental theorem

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: