Q3/ If f(x)= x=2x+1 X71, a=2 Find the followings; a) f(x) = x b) show that f(f(x)) = f (f(x)) c) graph fand f" together d) Verify dfx-f(a) 1 1 x= (df/dx) \ x=a Q4/ Find dy/dx for the followings; 1) y = Get ¹ 1/2 - tan'x x 2) Y= (1-x²) coth'x 2 3) y = 2√√x-1 sec √x 4) y = In (cschx + coth x) 5) Y= sech (Cos 2x)

Q: Find y as a function of a if y" – 8y" + 15y/ = 8e", y(0) = 28, y(0) = 14, y"(0) = 12. y(x) =…

A: We have to find the solution of differential equation.

Q: -22 - x2, find f(x), f(x), f(x), and f(4)(x). " (x) 70 = aph f, f', f", and f" on a common screen. y…

A: Given query is to find indicated derivatives.

Q: 2) Find the derivative of each function f(x) = Vx + 5x+6 %3D а) b) f (x) = 6x'(5x² +3x)10

A:

Q: If f(x) = 6(a-3/+7), find f'(2). Find f'(5).

A:

Q: Vx 3+x (g(x)) if g(x) = 3x +2 + S, * ** dx c) %3D

A: I applied Leibnitz rule

Q: F(t) = e^2t - 8/ 1-t Will this be undefined? And why? And which values of t is the function

A: given F(t) = e^2t - 8/ 1-t

Q: Differentiate the function f(t) = t^3 − it^2 when t = 2

A: Here, f(t)=t3-it2⇒f'(t)=3t2-i(2t)⇒f'(t)=3t2-2ti

Q: Find f'(x) if f(x) = 1 (x+csda4+10))³

A: *concept:- cscx = 1/sinx. d/dx (sinx) = cosx. d/dx (x^{n}) = nx^{(n-1)}

Q: d dx f(x)=sina, f(0) = 7.

A:

Q: If f(x) = 6 + 5x > Next Question 5x², find f'(-1).

A: We have to find the value of f'(-1).

Q: Please help with this thank youu

A: The objective of the question is to find the derivative of the function f(x) = sqrt(x) + 2 at x = 1.…

Q: What is the range of f(x)=1/(x^2)-2

A: Our Aim is to find the range of f(x)=1x2-2-(i)

Q: what is the range of  f(x)= (1/(x^2))-4

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Q: Compute the slope of the secant line containing the points (1, f (1)) and D) on the graph of f (x) =…

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Q: f(x)=sqrt(x+1) find f(t^2-1)

A: We have to find the function

Q: Graph f(y)=y^2(1-y)

A: Domain

Q: find d/dx f^-1 (4) where f(x)=4+2x^3+sin((pi*x)/2) for -1

A: We have,.We have to find .

Q: Use the graph below to fill in the missing values. f(x) -1+ R0) = fx) = 0, f^-1(0) = f^-1(x)=0. quad

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Q: F(x)=-4cosx-9tanx , f’(4pi/3)= ___

A: