Find an equation for the tangent line to f (x) = 2x³ – 6x² + 8x – 1 at x = 2. O y = 7(x – 2) | O y= 7x O y - 7= 8(x – 2) O y = 8(x – 2) - O None of these

Q: Find the derivative of the function. (x) = (2x – 7)“(x²+ x + 1)5

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Q: If f(x) = ax+b „x # - , find an equation for f~²(x). Cx+d c'

A: inverse of f(x) = ?

Q: 2 Find an x² x³ +3 anti-derivative for each of the following: for x³ +3>0 x + 2 x² + 4x² 5 a x² +1…

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Q: dx -= In[F(x)]+C. What is F(/3) if C = 0? For (x+x³) (x Tan-lx+1) A + - B 6. + 3 D + 6 + -15 -15 -15

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Q: Find the linearization L(x) of the function f(x)=x to the 4th power +2x to the 2nd power +1 at x=2.…

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Q: D Question 10 Find the derivative. y = 3x² +9 3x2 - 6x +9 (3x2+9)² px−1(3x² - 6x + 9) z(6 • z*E)…

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Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: The derivative of x- 1 is -2 1 + A -2 1 B -2 1 C -2 +1+ D -2 1 + E

A: Let's find.

Q: derivative

A: Please refer to the image below

Q: Find (f-¹)'(-6) given the following table of values. (Enter an exact answer.) Provide your answer…

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Q: 2. Find the anti-derivative of a. f(x) = 2x¹ - 5√√x³7−2e* ++ 3 1 1+x²

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: a. Suppose that ƒ(x) = g(x³) + eg(3x) where g' and g" exist. Find f' and f" in terms of g' and g".…

A: Here we have given a composition of a function as given below.

Q: -6 -5 -4 -3 Ņ Using the graph of f(x)= -1 1 5 4 3 2 - O -1 -2 -3 بنا -4 11 ţ -6 2 3 4 5 6 X (x) ==…

A: The graph of the function is To evaluate: The value of f'(-2).

Q: Find the derivative of y with respect to x. 6х + 11 y = - csc 7 O A. 42 |6x + 11|V(6x + 11)2 – 49 O…

A: ddx(cosec-1x)=-1xx2-1

Q: Find the derivative of the function. y = (x + 1)²(x² + 1) ~ 3 ...... - 2(x + 1)(2x² – 3x – 1) OA.…

A: Given:- y = (x+1)2(x2+1)-3 To find :- Derivative ol y

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 1-x y = In (x + 2)5 4x - 7 (x +…

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Q: 1. Consider the function: x3 − 6x2 +11x − 6. This function has three roots at x* = 1, 2, 3. 1. a)…

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Q: 5 What is the derivative of5a2 + 10x + ? A None of the given choices B 10x + 10 + 3x2 10a4 + 10a³ –…

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Q: Prove that for all a, b = R, the function f(x) = 3x² - 4x³ + 6x² + ax + b has exactly one point…

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Q: Evaluate ₁ f (x) dx if ƒ(x) · = O 14 O 12 O 8 06 2x x-1 if x 3

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Q: The function h(x)=In(x² +c) is concave up on the interval (-4,4) and concave down on the intervals…

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Q: Find the derivative for f (x) = V4 + e2x a. e2x /4+ e2x b. 1 2v2e2x xe2x-1 /4+ e2x C.

A: To find the derivative of fx=4+e2x.

Q: x3 - 2/x + 1 Using quotient rule, which of the following derivatives is true for the function y = 2r…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Determine F(x) = J (x+1)dx x3+3x2+7x+5

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Q: What is the second derivative of In(x4– 1)? - 16x9+ 12x6– 12x² (A) (x4– 1) 2 4x3 In (B) - 4x6– 12x2…

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Q: Given g(z) = In(5z+), the derivative g (z) is. %3D O 42 O 5z +z O 20z +1 O 20z +1 5z4 +z 5z +I 20z+1

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Q: 3. a) Use the Chain Rule and the fact that |x| = Vx2 to show that d dx |x| b) Sketch the graphs of…

A: We will use the give solution as we are instructed.

Q: Let f(x) = 2x³ − ²x² – 3 1. Find the first derivative of the function. (This function can be easily…

A: given  f(x)=2x3-12x2-3