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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 using the definition of derivative. 1 f(x) x² - 36

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Q: Find the derivative of the function. g(x) = 9 + In(x)

A: We have to find the derivative of : g(x)=ex29+ln(x)

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.

Q: Find the derivative of f (x) = 5² In (x).

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

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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 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: Find the derivative of a function at a given point F(x)= 2e^x-x at x=1 F(x)= x^3-5x at x=2

A: We have to find derivatives of the function: Fx=2ex-x at x=1 and Fx=x3-5x at x=2. We know the…

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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 f(x)= xtan(x)

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Q: Develop a general rule for the nth derivative of xf(x), where f is a differentiable function of x.

A: Given: the function xfx, where f is a differentiable function of x.

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

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

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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

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

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

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Q: Using the criterion of the first derivative, find the graph of the function: F(x) = 114 (x*) + 4,…

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Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

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

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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: 5. By the General Power Rule, find the derivative of y with respect to x for the function y = (4x5 +…

A: Given that, y=4x5+x4-x33

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

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

A: Given that, f(x) = lnx3 Differentiating with respect to x, we get 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: 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: By using the first principle, find the derivative of the following functions. 1. f (x) = x^2 - x

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Q: Find the derivative of ƒ (x) = 5ª In (x).

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Q: Use the following definition of derivative as a function f\x+h}-f(x) f\x)=lim h h --0 To find the…

A: A function is: a relation from a set of inputs to a set of possible outputs where each input is…

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

A: Since the placement of the radical sign is not clear whether it includes x or no, the question has…

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Q: Using the limit definition of derivative, find the derivative of the function f (x) = 3x + 5.

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

A: As per our guidelines, we are supposed to answer?️ only one question. B2(a). Find the derivative…

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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: Consider the function as folows:- r(x) = 2x - 5 /(3x + 1)2 In general, how do you find the…

A: Given function: rx=2x-53x+12 We can write the function as rx=2x-53x+1-2 Differentiate the above…

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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 the function. f(x) = 8 In(x)

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Q: )Find the first derivative or f’(x) of the following functions using long method derivatives

A: Given that:

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Q: Find the derivative of f(x) = 2 tan^-1(x) 6^x

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Q: Find the derivative of the function by using the definition. Then determine the values for which the…

A: Find the derivative of the given function

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Q: Find the derivative of the given function by using definition of derivative f(x)= sec(x)

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Q: Find the derivative of the function by definition 1 1- f(x) = 2x +3

A: Given f(x) = 12x+3 Consider f'(x) = limh→0f(x+h)-f(x)h= limh→012(x+h)+3-12x+3h=…

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Q: Use the general power rule to find the derivative of the function. f(x) = (8x-x2)3 f'(x) =…

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Q: '(a): Using the definition of derivative, find the derivative of f(x) = x² + 1.

A: The given equation is: fx = x2 + 1 The derivative of this equation is found as follows:

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Q: 2. Find the derivative of g(x) = 2x sin x.

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Q: find the derivative of f(x) = (x²+4)(3x³ – 2x) at the point x = - 3[ use product rule] В I !!

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