-9 f(x)= V9-x Answer: V9-x?' (9-x²)}*²

Q: d the second derivative of the functi =) = [3x° +6}* a. f" = 90x*(6+3x)ʻ(24+90x°) b. f" = 90x*(6…

A: We have to choose the correct answer from the given options according to the given information

Q: 1 Find the derivative of f(x) = V7+4x2 - 5.x2 +9

A: we apply chain rule in the first part and division rule in the second part

Q: Find the general solution using Reduction of Order: y''=2lnx

A: Explanation of the answer is as follows

Q: 4. What is the first derivative of f(x) = (x² – 4)(3x – 2)? a. 9x² – 4x – 12 b. (2x)(3) C. 6x d. (x…

A: Topic:- derivatives  Note:- as per our guideline if more than one question uploaded than only first…

Q: Find the partial derivative. 3 (x² +3x-3y) 2.

A: Given  z = x2+3x-3y4 We have to find ∂z∂x.

Q: Find the second derivative. 9. f(x) = V4x-5 f"(x) = f'"(x)=|

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Q: Solve by Chain Rule (V3x² + In(5X*)) y = tan

A: To differentiate the given function using chain rule.y=tan3x23+ln5x4

Q: Find the 2nd derivative of y = 3x6 + 7x %3D O 90x3 O 18x4+7 O 18x5 + 7

A: y=3x6+7xTo find the 2nd derivative

Q: / (6x" – 7Va+ 19x- 8 -- + Evaluate + 14e0* + V11 dx. (You don't have to show the work.)

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Q: how derivatives of : a. y = ex^3+5x3 b. y = ln(2x4+2)3

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Q: 9. Use the 2nd derivative to find the inflection point for f(x) = x³ – 6x2 – 4x +3 %3D

A: We will find the point of inflection as following.

Q: Determine the critical points of f(x) = x^2+8x+ 10 and apply the Second Derivative Test to find the…

A: Critical points are points where the function is defined and its derivative is zero or…

Q: ii.) Find the derivative of f(x) = x°(2x* + 5x³ – 3)5 when x = 2. %3D

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Q: 4 A) Differentiate y = 4Vx +-+ 10 8 8 B) Find the second derivative of y = 4Vx +- * + 10

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Q: Use the Second Derivative Test to find the Maximum and Minimum value(s) of the function 3 f(x) x* -…

A: We have the given function as fx=32x2-4x+lnx For maxima/minima, we need to calculate f'x as…

Q: 2 that also passes Write the equation for a quadratic function f(x) with roots at x = 7 and x =…

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Q: find the first and second derivatives

A: Given expression: w=3z7-7z3+21z2

Q: The first derivative of f(x) = (5x* – 6x)-3 will be 18 – 60x3 18 – 60x³ А. (5x4 — 6х)-4 В. (5x* —…

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Q: y = 2x' + 5x from the point (-2,-26) to the point (4,148), you'd have to compute f(x)dx

A: Given: y=2x3 +5x Point (-2,26) ,(4,148)

Q: 3) Find the derivative of f (x) = Vx3 – 4x² dv

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Q: The second derivative of f(x) = ex²-8 is %3D Font Sizes

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Q: what is the second derivative of  f(x) = 3(3x^3+2x^2)^10

A: We first find the first derivative using the power rule and chain rule.…

Q: Integrate (2x - 5) with respect to x from x = 2 to x = 5.

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Q: Find the fourth derivative of ƒ (z) = 4z" f(4) (z) =

A: We can make it easier for you

Q: 3. f(x) = (2x + 1)3 4. f(x) = V7 + V3x + 1

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Q: Find the derivative of f (x) = (=7 – 4z) (= ² + 4z – 1).

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Q: rom the solution provide on #9, how did you get from the 2nd derivative 2 - 2/t3 =0  to 1-1/t3 =0?

A: To explain how to get from the 2nd derivative 2 - 2t3 =0  to 1-1t3 =0

Q: Find the derivative of f(x) = (10z (1026 + =2 – 1)° f' (z) =

A: Given function

Q: The derivative of f(z) - (+10z) is O6z (2z + 10) O6z (2z+10) O 6z (2z + 10) O 6z+60

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Q: Find an anti-derivative F(x) of f(x) = 7x³ – 6x² –- 1 satisfying that 7 F(1) = 4

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Q: Find the root between [-1,0] where f (x) = (x+2)' +2x – 5 with error epsilon=0.1 by using False…

A: There are many methods to find the roots of an equation in a given interval. One among such method…

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

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

Q: The derivative of f(x) = 9z3 12 8. is %3D 3z f'(x) O f(r) – 9x?+ 12x 4 – 9r– 12x + 8e 7 O f(r) - 9x…

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Q: 2. Find the derivative of A(x) = L% V1– x³dx

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Q: find the critical points and apply the Second Derivative Test (or state that it fails). f(x) = x^2 −…

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Q: f(x) = 5x* – 6Vx² + 유+ 18 x7

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Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

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Q: 2) Use the second derivative test to find the local extreme values of y= x5 – 5x³+7

A: Given that, We will find the local extreme values of the function as following.

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: 2. The derivative of y = (1 + Vx3) (x3 -2 V) is y'=-3x4-3xs-2z2-11xº.

A: Since you have posted a multiple question according to guildlines I will solve first question for…

Q: 1) find the derivative of y = 4x2 – 3x – 2 | | then evaluate f'(x+3)

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Q: What is the first derivative of p(æ) = In (4x3 + x² +1)?

A: Given function is p(x)=ln4x3+x2+1

Q: Find the first derivative given that f(x) 5x V2r+3

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Q: II. Find the second derivative 1. y= 8x- 12x3 + 6x?-9 2. y = (4x-9)2

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Q: Find the first derivative: y = In V2x3 -5 222 O y' = 2z3-5 5z2 O y' = 223-5 3z2 O y'= %3D 223-5 O y'…

A: Using Chain rule Y= f(g(x))  so Y' = f'(g(x))•g'(x)

Q: find the critical points and apply the Second Derivative Test (or state that it fails). y = 6x^3/2 −…

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Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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Q: The first derivative of f(x) = (5x* – 6x)/3 will be 20 A. Gx* - 2) (5x* – 6x)i B. (20x³ – 6)(5x* –…

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