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## Related Calculus Q&A

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Q: Find the derivative of the function using the definition of derivative. g(x) = 5 − x

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Q: Find the derivative of the function using the definition of derivative. 1 g(x) 8 + Vx g'(x) =

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Q: Find the derivative of the function and evaluate the derivative at the given x-value. f(x) = 5x +x…

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Q: Find the derivative of the function using the definition of derivative. 1 f(x) x² - 36

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Q: Find the derivative of (x+5) / (x2-1) with respect to x.

A: Here we have to use formula of derivative dxndx=nxn-1

Q: Find the derivative of (x+5) / (x2-1) with respect to x.

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Q: Find the derivative of the function g(x)=x3∫x2tdt.

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Q: Find derivative of function F(x)=2x/1-x²

A: If hx and gx are to differentiable function and fx=hxgx Then derivative of quotient is as…

Q: Find the derivative of the function using the definition of derivative. f(x) = x4 f'(x) = %3D

A: To find the derivative of the given function using the definition of derivative.

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Q: Find derivative of: g(x) = sin(x-3x2)

A: Given query is to find the derivative of g(x).

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Q: Find the derivative of the function. y = In(x8)

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Q: Find the derivative of f (x) = 9ª In (x).

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Q: find the derivative by using the definition of a derivativef(x)= the square root of x+1

A: We need to find the derivative using the first principles (without appealing to any standard…

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Q: Using the definition of derivative, find the derivative of f(x) = x² + 3x + 3.

A: Solution:

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) 6x2 = -X +

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Q: Find the derivative of the function. g(x) = ln(|x9 − x|) g'(x)=

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Q: Find the derivative of f(x) =2 by using the definition of the derivative.

A: The given function is a constant function. Now by the definition of the derivative, the derivative…

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Q: Let f(x) = x³ + 3x + 3. Find the derivative of f-'(x) at x = 3.

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Q: Use the Quotient Rule to find the derivative of the function. h(x) = x2 x + 2 h'(x) =

A: The solution is:

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Q: 16) Find f'(x) using the definition of the derivative. f(x) = x3 + x

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Q: Find derivative of the function f(x)=x power3 -1/x-1

A: By applying the chain rule and quotient rule we find the derivative of a function.

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Q: Given f(x) = ||+x, at which point does the derivative not exist? Mathematically show that the…

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Q: 1. Find the derivative of f(x) = 1 using the definition of derivative.

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Q: 14. Find the derivative of the function using the definition of derivative. f (x) = V1 – x

A: Derivatives

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Q: By using the first principle, find the derivative of the following functions. 1. f (x) = x^2 - x

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Q: 1. Use the definition of the derivative to find the derivative of f(x)- V-x-2

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Q: Find the derivative and second derivative of g(x)=x(100-x^2)^(1/2).

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Q: Find the derivative of the function. f(x) = 8 In(x)

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Q: Using the definition of derivative, find the derivative of f(x)= x² +3.

A: (As per bartleby guidelines, for multiple questions asked, only first one will be solved. Please…

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Q: Using the definition of derivative, find the derivative of f(x) = x² + 3.

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Q: Find the Derivative of the function f by using the rules of differentiation F(x) = x^3+4x^2 + x -4…

A: Power rule:ddxxn=n xn-1ddxx=1

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Q: Find the derivative of f(x)=arctan(-x2), and simplify your answer

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Q: Find the derivative of the function f(x) = 10 + x² + 14. x3 f'(x) =

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Q: Find the derivative of g(x) = 4x tan x.

A: The given function is: g(x)=4x5 tan(x)

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Q: 9. Use the definition of derivative to find the derivative of f(x) = x² – 3x.

A: We need to evaluate the derivative of the function f(x) using definition of the following function…

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Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

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Q: I don't understand how to derivatives at all. Can you explain the concept please? Thanks!

A: We have given a function f(x).

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Q: Use the definition of the derivative to derivative of the function find the f(x) = 3/x and g(x) =…

A: Given: (1) fx=3x (2) gx=x2-4x+2

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Q: Q1. Find the derivative of f(x) = 2x² -- by using the definition of derivative.

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Q: Q1. Find the derivative of f(x) = 2x -- by using the definition of derivative.

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Q: Find the derivative of f (x)= 2- √(5x) using the definition of derivative.

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Q: 7. Determine the derivative of the function with respect to x. ソミx

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Q: Use the definition of the derivative to find the derivative of the function f(x) = 3/x and g(x) =…

A: Given f(x) = 3x then f'(x) = limh→0f(x+h)-f(x)h= limh→03x+h-3xh= limh→03x-3x-3hx(x+h)h=…

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Q: Find the derivative of the function. 10 f(x) = 3 + 2cos x

A: Recall: dxndx=n xn-1 d(cos ax)dx= a(- sin ax) dc1f(x)±c2 g(x) dx= c1d[f(x)]dx± c2d[g(x)]dx

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Q: Find the derivativeof ƒ(x) = x5. Then find the samederivative using the Product Rule withƒ(x) = x2…

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Q: Find the derivative of f(x)= 5x² +2 using the limit definition of the derivative.

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Q: Find the derivative of the function f by using the rules of differentiation. f(x) = x^3 + 6x^2 + x −…

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Q: Find the derivative of the function. g(x) = arccos(x) / x+7 g'(x)=__________________

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Q: Using the definition of derivative, find the derivative of f(z) = x + 5x + 5. %3D

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Q: What is the derivative of the function with respect to x of (x + 1)³ – æ° -

A: Given : Function x+13 - x3 To find : Derivative of the given function with respect to x?