Cansider the functions and its 1st devnative 4 h(g) = 5q* – 2q% → h'(q) = 10q² – 4q? 2 r(r) = 5n(2) – 10= r'(x) = 5n(=) , 1 %3D

Q: Compare the values of delta y and dy for the function f(x)= x^3 - 3 at x=3and delta x= 0.2

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Q: 3) f(x) =9x/チxー3 %3D

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Q: Use the four-step process to find f'(x) and then find f'(1), f'(2), and f'(3). 2. %3D f(x) = x +…

A: Topic:- function and it's Derivatives

Q: Find f'(a). 1 f(x) = Vx + 9 f'(a) =

A: As we know that; The Power law: ddxxn=nxn-1 The Chain rule: fgx'=f'gx·g'x   Given: fx=1x+9 So, we…

Q: for S(x)=200((2x+1)/(3x+4))^0.5 Find the rate at which the S changes with respect to x

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Q: Find f'(a). f(x) = 2x2 – 5x + 2 f'(a) =

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Q: If f(x) + x2[f(x)]5 = 34 and f(1) = 2, find f '(1). %3D f '(1) = Need Help? Watch It Talk to a Tutor…

A: Given: f(1)=2

Q: Differentiate the function. y= (3x* -x+2) (-x² +9) %3D

A: We have to  differentiate of given function.

Q: Find f'(x) and f'(c). Function Value of c 4 f(x) %3D C = 1 X- 9

A: To find the derivative

Q: If x + y 1 Find dx O a. -1( y^2) where y^2 means y squared represents exponentiation Ob. 1/ (y^4)…

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Q: f'(x) %3D 6х — 3/x*, х> 0, f(1) %3D7 - f.

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Q: if y= 1/2x^3 then find y`(0.50)

A: We find y' or first derivative of y using power rule. d/dx(x^n)= n*x^(n-1)

Q: Find f'(x) for f(x) = 3 arctan(4x² – 3) %3D

A: we use the formula f'(x) of arcton x=1/1+x^2.

Q: Find y' if y= 2x + Vx*-9xr+3.

A: We can find y' in the following steps.

Q: 3/4 iv) L'(- 's² – s +1'

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Q: Why is e^x^3 using the product rule instead of the chain rule??

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Q: Let f(x) = x' - 2x. Find: %3D (a) f'(x) (b) f'(-1), f'(1). f (2)

A: Given that f(x)=x2-2x

Q: Answer y = ce-((lnx)^2)/2

A: Given differential equation is,

Q: xy + e^y = ln(x + y) defines y as a function of x implicitly for the most part. Express dy/dx in…

A: Given an equation, Where y is a function of x.

Q: Find f'(a) for f(z 1(2) = 6-4x 18 f'(a) = (6-4a)

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Q: Find f'(x). Vx-3 f(x) = f'(x) = %3D

A: Given function  fx=ex-3 To differentiate given function chain rule is used ,chain rule is defined as…

Q: 5s L-1 ] = ? s2-25 %3D

A: L{ cos hat} = L{eat +e-at2}                       = 12 1s-a + 1s+a                        =  ss2 -…

Q: Find f'(x). 4 f(x) = 5x – In x f'(x) =O

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Q: First find f' and then find f. f"(x) = 4x – (10x + 6x?) +10, f'(1) = -4, f(1) = –1. %3D f'(x) = %3D…

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Q: The rate at which users join is R'(t)=_.36t^2+3.84t+0.46 where t is months from (0<t<10) if there…

A: It is given that, the rate at which users join is R'(t)=_.36t^2+3.84t+0.46 where t is months from…

Q: Find f'(x) for f(x) = e* - 5x.

A: Given : fx =e4x2-5x

Q: Find f'(x) and approximate (to four decimal places) the value(s) of x where the graph of f has a…

A: When the tangent is horizontal that is the tangent is parallel to the x-axis or the slope of the…

Q: 2 (4)"-1 yz5 2 T73 3. x. y? %3D

A: Value of m in each of the following: 2.  x8yz5m=1 3.  x3.y2x2.y3.zmz-5=x5y5z