Use the formula «(t) ||r'(t) × r"(t)|| to find «(t). r(t) = e12i + e-j K(t) = %3D

Q: Let f(t) = (t² + 4t+6) (7t² + 3). Find f' (t). f' (t) Find f'(3). f' (3) =

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Q: ƒ' (4) = If f(x) = 3√√√x(x³ − 2√x + 2), find f'(4).

A: Given that

Q: Consider the function. Find f'(x). f'(x) = Find F"(x). f"(x) = f(x) = x² - 6x² + 3 Find f"(-4) and…

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Q: If ƒ(t) = (t² + 6t + 7) (7t² + 2), find f'(t). Find f'(2).

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Q: dy Find when y = a dx (a) (b) (c) (d) 2bx x4 + b² Arctan Arctan(2) 2bx ln a _ Arctan x4 + b² x In a…

A: Given y=aArctanbx2

Q: y = e"(1 – y²), y(0) =

A: We will find out the required solution for given differential equation.

Q: f (x) = /1 + v1 – x, solve for f'(x) |

A: The given function is f(x)=1+1-x

Q: Differentiate f(x) = (3x)n() for r > 0. %3D

A: To differentiate (variable)(variable) ,  we need to take logarithm both the side then to…

Q: Use Exact, Then solve (1 = In(x) +)) = (1 – In(x))y`

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Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

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Q: f(x)= x2/5 Where it concave up/down?

A: To find the concavity of the given function.

Q: Find f '(x) and f '(c). f(x) = (x³ + 4x)(2x³ + 4x – 5), C = 0 %3D

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Q: Use the graph of f and g. p(x) = f(x)g(x) %3D f(x) q(x) = g(x) %3D y 10 8 f 4 2 -2 2 4 6. 8 10

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Q: ((x/y)/z)+(x/(y/z))

A: In mathematics, precalculus is a set of course that includes algebra and trigonometry to prepare…

Q: Use the equation f(x)= x³ –1 to determine: f(3) = ? а. b. If f(x) = 7,then x = ? с. f"(26) = ? d.…

A: Solution:Given  f(x)=x3-1To find:(a)f(3)(b)f(x)=7  then x=?(c)f-1(26)(d)f-1(63)

Q: Find (f ¹)'(a). f(x) = √ 3x³ + 3x² + 2x + 1, (f−¹)'(a) = X a = 3

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Q: (2x+1)dx (x+2)^(x–1)“ (x+6)dx S (æ+2)² dx S æ (1+a²)

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Q: f(x)= 7tan-1(5sin(4x)) f'(x)=?

A: We have to find the derivative of the given function f(x)= 7tan-1(5sin(4x)).

Q: Find: (D³ - 5D² + 17D-13)y=0; y(0) = -1, y'(0) = -4; y" (0) = 17 1) 2) Roots of Auxiliary Equation…

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Q: Find f(x) if f' (x) = 3x – 2x + 3 and f(2) = 15. - f(z) = Preview %D

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Q: h(x)=(ax+b)/c h’(x)=?

A: The given function for which the derivative is to be found is,

Q: Let f(x)=e*2, find f'(x).

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Q: Differentiate. G(x) = (8x² + 9) (4x + Vx) Gʻ(x) =D %3D

A: We know that, from product rule of differentiation ddxfx·gx=fx·g'x+gx·f'x                  ⋯⋯1 We…

Q: The length of the curve =z(t)=5e³", 0≤t≤n Z= is

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Q: If f(x) = 3√x (x³ - 5√x+4), find f'(x). x ²7/31²- Find f'(3). X

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Q: Suppose that f(x + h) – f(x) = 7hx? – 8hx + 5h²x – 3h? – 7h³. Find f'(x).

A: The quotient difference formula is given as, f'x=limh→0fx+h-fxh it is given that…

Q: 9x7 p(x) = .Find p'(x). %3D x² + 1

A: Given :p(x)=9x7x2+1

Q: a) Let f(x) = √5 + 132³. Find f'(x). f'(2) - O b) Let f(z) J'(x) = 0 evS+13³ Find f'(z). -e'

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Q: Find f'(t) if f(t)= 9t +3t +2. f'(t) = =D

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Q: Differentiate the function and simplify the answer. f(x) = 2x e2r'+x² Select one: f'(x) = 2xe2r³+x?…

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Q: Find f(x) if f(x) = = 13. 4.x + 17 and f(1) :

A: Given: f'x=4x3+17 And, f1=13 The objective is to find fx.

Q: B. f"(x)=8x³ +5, ƒ(1)=0, ƒ'(1)=8

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Q: find f'(t) for f(x)=x/8x-8

A: We will need the quotient formula to find f'(x) Assume u and v, then find u' and v'

Q: y= 30 Sqaure root x  y`(9)=?

A: