Question No.06 A)Differentiate the following. f(x) = (x + 5)(x³ + 7x² – 9) (3x2 +4x) a)f(x) = (x* +5xª +e²) b)f(x) = (4x³ +x² + 9e°)-3

Q: The first derivative of f(x) 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√√(5x4 — 6x)³ A. = 5x² - 6x will be B.…

A: f(x)=15x4-6xwe know  (i) d dx(xn)=nxn-1

Q: 2x + 1 (b) √ ² (1 − x) -dx

A:

Q: The first derivative of f(x) = = 10x³ - 3 (5x4 - 6x)³ C. (3-10x³)√(5x4 - 6x)³ A. Select one: O A OB…

A: Given a function f(x) , need to find derivative of the function. We will use chain rule to find the…

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A:

Q: Find f′(9) if f(x)=7x2 +5x+5/ √x

A: To find f'(9) , initially we have to find f'(x) from the given f(x) then substitute x=9 in the…

Q: 1) Find the natural domain for the following: x +6 f(x) = 8- Vx2 - 25

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A: we have to apply composition property to solve given function please note: we are only supposed to…

Q: If P(x)=x2+x+3 and Q(x)=5x2−1​, find Q (1/4)

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A: Given: fx=x3+x2

Q: Find the domain of the function. (Enter your answer using interval notation.) f(x)= radical x +…

A: Solution

Q: Perform this subtraction: (-4x5 + 6x² - 2x) - (4x5 + 8x² - 4) 2

A:

Q: 8. FIND f(4) (x) OF f(x) = 3x7 + 4x6 + 8x³ – 2x + 1

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Q: x'dx √√x(1-x)

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Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: y = (2x+5) (x-4) y = (4x³- 5x)³ 11. y = 10. ƒ(x) = 2x-1 x+6

A:

Q: please answer asap

A: Using integration formula,

Q: A variable circle passes through the point A(a, b) and touches the x-axis. Show that the locus o the…

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Q: Let f(x) = 6x2 – 8x + 10. Which of the following functions is most like f(x)? d)k(a) = 3a? – 8a + 10…

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Q: 11. If f(x)= -x² +2x +10 and g(x) = 4x – 1, then: a) (gof)(x) = b) (gof)(-3) = %3D c) (fg)(-1)= %3D

A:

Q: 1. Given f(x) = 2- 3x and g(x) = 2x + 5x – 1, find the following values. a) f(-3) b) f(0) c) -2g(3)…

A: This question is about finding values of functions at a given point  .

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.