Compute R' (x). OR (a) = 70 + 0.04x %3D OR (x) = -70 + 0.04x OR'(x) = 70 – 0.04r %3D OR'(x) = 70x – 0.042? OR'(x) = 70T – 0.02x² OR (x) = 140 + 0.04x

Q: 4 X- - 5x +4. %3D Find f'(x), f"(x), and f (x) for f(x) = f'(x) = f"(x) =

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Q: If f' (4) = -9 and g ' (4) = -5, find (a) h'(4), if h(x) = 10f(x) + 2. %3D h'(4) = %3D (b) F'(4), if…

A: Recall: (αf(x)±βg(x))' = α f'(x)±β g'(x) ; where α and β are real numbers.

Q: /25 – x² (-2x) dx 11.

A: 11. According to question,Given integral,∫25-x2-2x dx

Q: Differentiate. V(x) = (3x³ + 3)(x* – 2x) V '(x) =

A:

Q: Find f(x) if f'(x) =2/+.

A: The derivative of f(x) is given, so to find f(x) we need to integrate f'(x)=2x+5x6. The integration…

Q: uppose P(x) represents the profit on the sale of x DVDs. If P(1000) = 3000 and P'(1000) = −3, what…

A: Given that  Px  represents the profit on the sale of DVDs. P'1000  is our profit for selling 1000…

Q: dy + ydx = 3x²y?dx, %3D

A:

Q: 3 + 2x g(x) %3D 5 - 8x

A:

Q: Choose the correct answer : If y = x2 -(10/x) + 5x+ 2021, then y"=...    2 - ln(x)  2 - (20/x3)  2…

A: y=x2-10x+5x+2021

Q: Find f. f"(x) = 6 + 6x + 24x2, f(0) = 2, f(1) = 12 f(x) =

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Q: Differentiate. G(x) = (4x2 +5) (4x+ Vx) G'(x) = %D

A:

Q: If 11 +3f(x) + 8x²(f(x))' = 0 and f(1) = -1, find f' (1). f'(1) =

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Q: Let f(x) = x + 12 f-'(x) = %3D 1.

A: Let's say y = f(x) A function g is said to be inverse of a function f, if g(y) = f(x) Procedure to…

Q: V(x) = (5x³ + 3)(x* – 2x) V'(x)

A:

Q: For the function f(x) = , find f'(x). 4x 7-x' f (x) = Answer: %3D

A: The given function is: fx=4x7-x      .....(1) To find the value of f-1x

Q: If 87 + 2 f(x) + 3x² (ƒ(x))³ = 0 and ƒ(1) = −3, find ƒ'(1).

A: 87+2f(x)+3x2(f(x))3=0,f(1)=−3

Q: Find y''' for y = 1/(x+4)3

A: To find the first derivative, y' of y, differentiate (x+4)-3 with respect to x, using the general…

Q: r(x) = 3x/4- x0.1/3 + 5/4x1.1 - 3 r'(x) =

A:

Q: If f(x) = x2/(4 + x), find f "(2). f "(2) =

A: f(x) = x2 /(4+x)  f'(x) = [(4+x)(2x) - x2(1)] / (4+x)2  = (8x+2x2 - x2)/(4+x)2 = (8x+x2)/(4+x)2…

Q: If h(x)=2-4/3x given the equation for h-1(x)

A: The definition of h-1(x) is h-1(x)=1/h(x)

Q: Find f'(x). f(x) = (x2 + 3x)(x + 5) f'(x) =

A:

Q: Suppose that a political campaign by Loki estimates that the candidate’s polling percentage y and…

A: The candidate’s polling percentage is denoted by 'y'.The amount is denoted by x (in hundred…

Q: 9x7 p(x) = .Find p'(x). %3D x² + 1

A: Given :p(x)=9x7x2+1

Q: Find d/dx((x)(d/dx(x-x^2))

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Q: If f' (2) = -5 and g'(2) = 3, find %3D (a) h'(2), if h(x) = 12f(x) + 4. %3D h' (2) = (b) F'(2), if…

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Q: q(x)=ln(6x^2+2x+2), find q′(x).

A: