Let f(æ) = 2x + 3 and g(æ) = 2a2? + 4x. After simplifying, (f o g)(x) =

Q: Suppose that f(x) = 11e^(x) - ex^(e). Find f'(3).

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Q: Find f'(x) for f(x) = e5a+2x

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Q: df If f(x, y) = x² + 2x – 1, then 0. - ду True False

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Q: • 4x² If F(x) = e(5r²) dt, what is F'(x)? (Do not include "F'(x) =" in your answer.) 3x

A: If you like the solution then please give it a thumbs up.... The Answer is:           ∫3x4x2e5t2dt…

Q: f(x) = x² + 3x – 5 - Suppose What is f(-3a)?

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Q: Let f(r) = 4x + 2 and g(z) = 5a² + 5x. After simplifying, (fo g)(x) =

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Q: # 3) Find f(x) if f'(x) = 9x2 – 12x – 5 and f(2) = 4 -

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Q: If f(x) = | V17+t³dt, then what is f(-1)?

A: Leibnitz Rule: Let f(x) be a differentiable function on closed interval a,b such that a,bare the…

Q: Let f(x)=3x^2+7x-4 and g(x)=9x^2-5x+1. Which equation shows h(x), where h (x)= f(x)-g(x)?

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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: If f(x)=∫8/x t^2dt  f'(x)=?

A: As per fundamental rule II of calculus, the releationship is as shown on the white board.

Q: Let f(x) = 2x + 3x? + 5x + 5. Find f(3 + V2).

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Q: et f(x) = x³ + 4x. Using fact that f(2) = 16 find (f-1)'(16)

A: Topic:- application of derivatives

Q: Use Descartes's Rule of Signs to dete 17) f(x) = 3x -5x4 + x + 10

A: Given:   f(x) = 3x7 - 5x4 + x +10

Q: If f (x) = 47x – 55, then %3D f-1(F(x)) = [ ? ]

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Q: If f(x) 6e² – 8x* + 3, find f'(x). %3D

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Q: if f(x) = 3x+4 over 4x+3 then f'(x)=?

A: Given: fx=3x+44x+3 To Find: f'x=?

Q: If f'(x) = 12r + 3z² and f(1) = 7, find f(x) . f(x) =

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Q: f (0), where f (x) = x2 + 2x + 2

A: Consider the given function: fx=x2+2x+2

Q: f(x)=5sqrt(x+2) at x=7

A: Given: f(x)=5x+2f(x) has domain x≥-2

Q: differentiate the expression with respect to x, assuming that y = f (x). (x2 + y2)3/2

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Q: If f(x) = 18z + 9, find f'( – 1).

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Q: (b) f(x), where f(x) = (2x +1 x 1 Evaluate

A: We have to find the value of the integration between the limit 2 to 5.The function is piecewise…

Q: 6. If f(x) =-2x + ax? +2 and f(2) = 2a, find a.

A: The given function is fx=-2x3+ax2+2. It is given that f(2)=2a.

Q: The derivative of f(x)= (x2+2x)(x²-2x) is a. 4x3-8 O b. x-4x2 с. none d. 3.

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Q: what is (f o g)(x) given that f(x) = 3x+4 and g(x) = 2x-5?

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Q: If (f(2x*)) = 6z°, calculate f'(x). f'(z) =||

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Q: If f(z) = 19z+ 24, find f'(-3).

A: Here, the given function is: f(x)=19x+24

Q: If f(x) = 5 + 6x – 2x?, find f'(3).

A:

Q: 3. If f'(x)= 3x² 2 and f(1) = 4, find f(e).

A: To find f(x) from f'(x) we integrate it C=integrating constant

Q: Let f(x)=4(13)2x. Which is equal to f(1)?

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Q: Find the interval where the function, V3x? f(x) = 5 – 2/3x + 57 is - increasing?

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Q: on f(x, y) = 7x2 + 9y? - xy + x.

A: Let the function be, f(x,y)=7x2+9y2-xy+x. Differentiate the function partially with respect to x.…

Q: Let f(x) = 2x² – 12x + 3. For what x-value isf' (x) = 0? x =

A: To find: The values of x at which f'(x)=0. Given information: The function is f(x)=2x2-12x+3.…

Q: With f(x) = 3x +1 and h(x) = 2x – 4, find (f o h)(5)

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Q: 5. use the four- step procedure to find f'(x) 1 b) f(x)24x 2 a) f(x)

A: Use four-step procedure to find derivative of f(x).

Q: If f(x) = (3x + 8) / (2x - A) and f(0) = 2, what is the value of A?

A: Given that, fx=3x+82x-A Also it is given that, f(0) = 2 We have to find the value of A.

Q: If f(x) = 5 + 4x – 2x?, find f'(4).

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Q: Suppose 7x + 2 f(x) ? + х — 2 Then A f(æ) : В х — 1 x + 2 where A = and B =

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Q: If f(x)=2sin^-1(x^3), then f’(x)=?

A: Solution:

Q: Find the deivative of f(x) = Sec(4x72x)

A: Solution: The objective is to find the derivative of the given function

Q: fG)=4x-3 , SC)=Ê (3of) (x)=

A: Givenf(x) = 4x - 3g(x) = x2(f∘f)(x) = ?(g∘f)(x) = ?

Q: Express the deriviative (f (5x - 2)) in terms of f'. a) O f' (5a2 – 2) b) O f' (10x)

A: Express the derivative ddxf(5x2-2) in terms of f'

Q: If f(x) = 1 + 4**', what does f(2) equal?

A: Given real valued function is

Q: If f(x) = -2x + 8 and g(x) = Vx +7, what is (f° g)(2)? Enter the correct answer. DONE Clear all

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Q: Given f(x) = -x – 1, solve for x when f(x) = 6. %3D

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Q: If f(x) = x²+4 and h(x) = 3x – 4, what is f(h(x²+4))? O9x*+68 O9x* + 60 O9x*+ 48x2+ 68 Oex*+ 48x? +…

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Q: If f(x) = 4x? 10x – 40, find f'(x). - -

A: Given function is, f(x)=4x2-10x-40 we know that, ddxxn=nxn-1andddxaf(x)=af'(x)