Given the function below f(x) = 3 x³ – ²x² − 18 x + 3 a) Differentiate the functionƒ(x) = 3 x³ − 2 x² − 18 x + 3. ƒ'(x) =

Q: Find the domain and range for f(x, y) = y² /x³ – y.

A: The given function is: f(x,y)=y2x3-y Now, the function is defined for all y but if  x3-y≥0⇒x3≥y⇒x≥y3…

Q: Find f"(x), given that f(x) = 8 csc x+x* -7e2x -Vx²

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Q: 16. The derivative of the function f(x)= x - X +2 is X - 1 (x* - 2) V a) b) (x? -2) Vx x? - 2 d) X +…

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Q: For the function f (x) = 5a- 7x +4r + 3 %3D a. Find f '(x) b. Find f" (x) c. Find f" (0) and f “ (2)…

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Q: f(x) = '(x) = - 15 √√x

A: Given query is to find indicated derivative.

Q: Find f'(1) if f(x) = √√√x + )=√x+ +2

A: We are given,

Q: The inverse of the function f() = 3+ 9x is f '(1): O-3 O(@ 3) 9. Ox-9 O (r-9) 3

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Q: (x) = 5x(2x* _ _5 f'(x) = help (formulas) Given f(x) = 5x 6), find ƒ'(x). x+6)

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Q: For what values of x is Ax) concave down if f "(x) = 3x' – 14x² + &r?

A: Given that, f''x=3x3-14x2+8x For what value of x is fx concave down.

Q: f(x) = C

A: Here we apply quotient rule of differentiation given as ddxuv =vdudx-udvdxv²

Q: If f(x) = 4+ 2x – 32, find f'( – 2). Preview

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Q: For the function f(x) x + x3, find all of the relative and absolute extrema using the first or…

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Q: Calculate y" for the function y = 5x' – 7x² +16

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Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: 9. f 6 sec¹ xdx

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Q: 7. Given the function 8(x)%3D4X' - 3x² +x-1, find g(0), g(-1), and g(x-x) |

A: Some important formulas (a - b)3 = a3 - 3a2b + 3ab2 - b3 (a - b)2 = a2 - 2ab + b2

Q: 17. Determine the derivative of each function. a) y=2(3x-x-1² b) g(x)= /2x + 5

A: We have to find derivative As per guideline we have to solve only three

Q: s the function y = 3(x-4)^2 + 1 symmetrical with respect to the y-axis ? Why ?

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Q: Use the second derivative test to find the local exterma of the function f(x) =x3+12x2-5 on R

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