f(x) = x ^ 2 + 3x - 2, findf * (- 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: Find the third derivative. f(x) = 6x9 – 8x6 f"(x) = %3D

A:

Q: Find the derivative of f(x) = 2x²+3x-1 if f'(-1)

A: Given: fx=2x2+3x-1

Q: V2 – 3x4 1 x² -4

A: We have to find the derivative

Q: Find the derivative. y = 5x 4 - 5x 3 7 O 4x3 + 3x2 O 20x3 - 15x2 - 7 O 4x3 + 3x2 - 7 O 20x3- 15x2

A: Given,  y = 5x4 -5x3-7  We have to find the derivative of  y = 5x4 -5x3-7

Q: Find the second derivative. f(x) = 6x10 − 17x5 − 12x3 + 5

A:

Q: Use derivative rules to compute f'(-1) given f (x) = -4x8-32x - 4.

A: f(x)=-4x8-32x-4Formula: xn'=n xn-1

Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule]

A:

Q: Use derivative rules to find f'(x). 4. f(x) = (2x² – 3)(3x – 1) -

A: f(x) = (2x2-3) (3x-1)derivative rulef(x).9(x)' = f'(x)9(x)+f(x)g'(x)or (uv)' = u'v+uv'

Q: How can you apply the chain rule in calculus 3 with multivariable calculus

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Q: Find the derivative. y = 3x - 7x - O 4x³ + 3x² O 12x³ - 21x² 1 12x - 21x² - 7 4x - 3x2 - 7

A:

Q: Find derivative of 5x^2/3sqrtx using the Product Rule

A: To find the derivative of f(x)=5x23x using the product rule.

Q: Find the third derivative. f(x) = 4x9 − 7x6

A:

Q: Calculate the derivative. f(x) = 2x 3 - 3x2 + 2x

A: The function is given as fx=2x3-3x2+2x Differentiate the above function w.r.t 'x'…

Q: Find derivative using quotient or product rule

A: To find the derivative of y using quotient rule or product rule.

Q: The derivative of f(x) = (4x3 +6x2 – 5)4 -

A: We havefx=4x3+6x2−54    ..........1

Q: find the derivative of f(x) = (x² +4)(3x³-2x) at the point x =- 3[use product rule]

A:

Q: Find derivative of f(x)=(2x2+5)4

A:

Q: Find the derivative of f(x) = (3x − 2x2)3

A: Given function: f(x)=3x-2x23

Q: 3rd derivative of 5x^4+6x^-4-4

A: Given the function 5x4+6x-4-4. We need to find the third derivative of the function.

Q: Find derivative of f(x)=2x-7

A:

Q: Use the second derivative test to find the extreme values of the function f(x) = 13 -3z2-24x

A: Given: f(x)=x3-3x2-24x To find the extreme value of the function.

Q: Find third derivative of  f(x) = 6x^2-7x+8

A: We have to find third derivative of  f(x) = 6x2 - 7x + 8 The first derivative of f(x) is  f'(x) =…

Q: ³√xy = 2x²y-8x

A:

Q: Use the chain rule to find the derivative of 4x* +4x8 Зе

A:

Q: Find the derivative of f(x) = -2x Or) - 6x2 Of (x) = -6 x2 Of (x) = -6 x3 %D Or-6x* f (x) = 6 x4 %3D

A:

Q: 2- 3x +8 2-X2C

A: Use chain rule to find the derivative. The formula for differentiation is  ddxxn=nxn-1

Q: find the derivative of f(x)=6x^-8/3-x^-2/3

A: Given         fx=6x-83-x-23

Q: Find the extreme values of on [-2,2]. f(x) = ret, x < 0 2x³9x² - 12x, x ≥ 0

A: Solution of given question is written in below steps.

Q: derivative of 2x^2

A: Given, To evaluate 'derivative of 2x^2

Q: Find the derivative for ()= 2z²+9 %3D 3-5z

A: Consider the function

Q: What rule do you use to calculate the derivative of f(x) = exx2 and f(x)=(x2-3x+1)/(x+5) ?

A: Use the product rule and quotient rule of derivative:

Q: Use derivative rules to find f'(x). 4. f(x) = (2x² - 3)(3x – 1) %3D

A:

Q: Find the derivative [(6x-3)(4x-5)]/(4x+3)

A:

Q: Find derivative  of f (x) = 5x^6+75x^2-45

A: We have to find the derivative of  f(x) = 5x6 + 75x2 - 45

Q: Find the derivative of f (x) = – 5x 5z) (-² + 6x – 6 ) . -

A:

Q: Calculate the derivative. f (x) = 2x3 − 3x2 + 5

A: