Find f'(x). f(x) = (3x + 10)7 (1 − √) 3(3x + 10) (1 − √x)³ f'(x) = 21(3x + 10)6 (1-√) f'(x) = 7(3x + 10)6 (1 - √x)° + 6(3x + 10)¹ (1 − √x)³ O 63(3x + 10)6 (1-√√x) ³ √x f'(x) = -

Q: If ƒ(x) = (x² + 4x + 5)², then f'(x) = 4x³ + 24x² +52x + 40 f'(2) =

A: Given f(x)=(x²+4x+5)²

Q: (a) [ dx ? 元+1

A:

Q: If f(x) O _ x9 (4x +11)³' 99x8 (4x + 11)4 O 15x +97 4x + 11)4 0x8 x (32x + 109) (4x + 11)4 O x³ (24x…

A:

Q: Find ƒ(x) if ƒ'(x) = 3x² - 4x + 4 and ƒ( − 1) – – 4. ƒ(x)

A: F

Q: Find f'(x) if f(x) 9x (8x+2) 4 2√9x²-6 18x+48 5 (8x+2) 4 -9x² +16x+10 5 4(92²-6) 2 (8x+2) 4 6…

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Q: -2x² √4-x² O(-∞, -√2) and (√2,00) O[-2, -√2) and (√2, 2] Given f'(x)= O(-2,2) O(-√2, √21 determine…

A: Function increasing and decreasing.

Q: Please help (41-45)

A: Here we have to find the derivative.

Q: 10) Find (ƒ^¯') (-5) if ƒ(x)= x³ +3x−1.

A:

Q: If f (x) 2e²x Then compute f" (0) + 2f' (0) + 2ƒ (0)

A:

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: Given, F(x) = 2x+3/4x+5 for x ne-5/4; f^-1(x)

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Q: Evaluate the integral. 4 1 dx 2x Ji

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Q: What is the coefficient of x^n for the generating function (1)/(1+x)^2?

A:

Q: 8. Find all the roots of f(x) =x* - 4x' + 6x² – 4x+5 if 2-iis one root.

A: Topic- roots of polynomial

Q: If f(x)= x^2 − 4x − 1  find the following. (a) f(x+a) =  (b) f(a) = (c) f(x+a)−f(a) = Note x^2…

A: Given that:f(x)=x2-4x-1

Q: Let f(x) = -2x√√x + f'(x) = -8 x²√x

A:

Q: If f(x) = f'(x) = f'(1) = 6x + 2 7x + 2 find: 2 (7x + 2)² 28 (7x+2)³ X

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Q: Determine f-¹(x) if 1 (X) = Or¹(x)=x2 X+2 X-3 X-2 or¹(x) X+3 Or¹(x)= X-1 3x + 2 3x + 2 X-1 OM(x)=)…

A: