2L (1-сos(nn)) ппх f(x) sin dx = (пп)з (1-сos(nп)) Σ 4 f(x) = -(1 -cos(пп)) sin (пл)3 L n=1 8

Q: If y = x + 1* find f''(0)

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Q: Provide an example of a function f(x) which has all of the following properties: - it is periodic…

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Q: x - x +2 4. If flx) =x + 7 find f'(x) . (5x - 1) (3x²) (A) (x' + 7)(5x - 1) – (x° – x + 2)(3x²) (B)…

A: The given function is  f(x) = x5-x+2x3+7

Q: Estimate the root very near x = 0.2 of 2(x*)* - 3(x*} + 1 = 0 using the Newton- Raphson Method with…

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Q: Given f(x)=(1)/(4)x^(2) how did we transform from the parent function?

A: Given f( x ) = 14x2

Q: Find the derivative f'(x): f(x)=x4-x2+sin-1x/3 **4-x2 is under a radical sign!

A: Consider the given function f (x) taking (4-x^2) under the radical sign. Differentiate f (x) w.r.t x…

Q: Sketch a graph of f(x) given the following information: f'(x)0 when x>4 f'(1) = 0 and f'(4) = 0…

A: Graph

Q: If f(x) = sin(a²), find f'(x). Find f'(3).

A: 1. f(x)=sinx22. f(x)=sin4x

Q: Assume f' is given by the graph in the figure. Suppose f is continuous and that f(0) = 0. (a) Find…

A: The antiderivative of a function f( x) is a function F(x), such as d/dx (F(x)) = f( x). The general…

Q: Given the graph of f'(x) below, where is fx) increasing? 6 4 4 6 a) Of(x) is increasing on the…

A: According to first derivative test, if f'(x)>0, then f is increasing and if f'(x)<0, then f is…

Q: Find the derivatives of the follwing function f(x) -4 i)e log(3x+4) x>. 3 )(4+x*)e* ax+b iii.…

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Q: Suppose f(x) and f'(x) have the following values. -5 -4 -3 -2 -1 f(x) 8 10 15 16 14 f'(x) -2 -3 9 -5…

A: We need to find  out h'(-5).

Q: Find the derivative of the following function. [In(2*)]* O 24|In(2*)]* 24|In (2*)]* 24|In(z")]* 24|…

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Q: Use the Chain Rule to find f'(x). f(x) = (cos x – x²)5

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Q: The point (1, 4) lies on the curve 3xy + a²y = 16. Using implicit differentiation we get the…

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Q: Sketch a SINGLE graph that includes all of the conditions below. • f'(x) > 0 when - 4 1 - 5 f(-4)…

A: The objective of the question is to sketch a graph of a function f(x) that satisfies all the given…

Q: Use the inverse function theorem to find the derivative of g(x) = arcsin(x). 1 = (z),6 f'(g(x)) ,…

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Q: Q14: : Find intervals where function f is concave up and concave down and find the inflection…

A: Consider the function  f(x)=xex

Q: For the f(x) = 1/1-X^2 and g(x)= x^2/1-X^2 A) shows that these functions have the derivative B) what…

A: We need to find relation between f and g.

Q: Suppose g and h are functions such that g (x) = ln (1 + h (sqrtx)). Find g'(4), given that h'(2) = 1…

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Q: Suppose f(x) and f'(x) have the following values. -1 0 12 8 -5 10-2 8 -6 -5 7 f(x) f'(x) -2 0 -3 Let…

A: The given table is:

Q: Find f'(x) if f(x) = tan-1 2x sec²(x) 1 1+x² 2x 1+x² 2x 1+x¹ 2x 1+x² 1-¹ (x²).

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Q: What are the intervals of monotonicity of f(x) = arctan (2(x-1)) - ln IxI ?

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Q: Find the derivative of the function f(x)= 4/5sin^2 (4x) The 4x is in

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Q: If f(x) = 7cos(x), what is f'(x) ?

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Q: f(x)=tan^-1(x) Use Taylor's theorem with error to give an estimat of tan^-1(1) = pi/4, without the…

A: f(t)=tan-1(t),  f(0)=0f'(t)=11+t2,   f'(0)=1f"(t)=-2t(1+t2)2,  p1(t)=f(0)+t f'(0)=tE1(t)=f"(c) t22!…

Q: Find f such that f'(x) = f(x) = 9 √√x 1 f(4) = 48.

A: Integrate both side given function