For the below figure, the f(t) will be equal to

Q: Find the FIFTH DERIVATIVE Given: f (t)

A:

Q: For the following exercise, use the definition of a derivative to find f'(x) f(x)=x+(1/x)

A: The definition of derivative is  f'(x)=limh→0f(x+h)-f(x)h

Q: Evaluate the derivative of the following functions at the given point  ƒ(r) =π r2; a = 3

A: We first find f'(r) using the exponent rule

Q: Find a formula for df 1 dx for the function below using the Derivative Rule for Inverses. f(x) = (5…

A: Given,         fx=5-3x3We know that,           The Derivative Rule for inverses is given by…

Q: For the function ƒ(x) = 2* we use the two-point formula to approximate the first derivative of f at…

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Q: 2. For each of the following functions, find the indicated derivative using the definition. a. f (x)…

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Q: 2. Find the derivative of f (t) = (1²-3)° and simplify your answer as much as possible.

A: We have, f(t)=t2+3(t2-3)2   If we f(x)g(x) form, then the derivative of the function will be,…

Q: For the function f(x) = 21² + 1, it is given that 3 f(x) dx = 21. At what value C does the function…

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Q: f(x) = Vx – 6

A: Given that                 f(x) =x-6      Differentiating with respect to x, we get           f'(x)…

Q: Find the derivative of the following function. 3x +8 h(x)%D xf +9 h'(x) =|

A: Derivatives

Q: Find the derivatives of the following function f(x) from the first principles x4+4

A: Form first principal of derivative, use the limit as given below and find the derivative.

Q: If f' is the derivative of f with | f'(x) dx = 10 and f(2) = 4, then f(1) :

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Q: Find the derivative for the following function. f(x) = 7V

A: We need to evaluate the derivative of the following function fx = 7x4 Formula Used : ddxxn = nxn-1

Q: Find the given higher-order derivative. F(3)(x) = Vx², f(4)(x) f(4)(x) =

A: Given that, the higher order derivative f(3)(x) = x23 To find the higher order derivative of f(4)(x)…

Q: For what values is the function f(x)= ln(x+1)/x^2+1 continous? Can you please explain how to…

A: If , g(x) is continuous and h(x) is continuous. Then g(x) / h(x) is continuous.where h(x) not equal…

Q: Evaluate the derivative of the following function at x=0: f (x) = (e³* + x)+ 4. O 16

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Q: For the below figure, the F(s) will be equal to 6 (1

A: Given

Q: (a) f(x) = V3x + 5 2 (b) f(x) =

A: We need to find the second derivative of the given functions.

Q: Evaluate the derivative of the following function at x=0: f (x) =(e"+x)+ 4 O 16

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Q: Find the second derivative of the function F(t) = 5tsin(r³).

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Q: Solve for the derivative of the following function: v=1/t^3

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Q: Use the table to the right to find the given derivative. 2 3 4 f(x) f'(x) 3 1 4 2 d xf(x)] 2 3 4 dx…

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Q: Find the derivative f'm(x) of the following function with respect to x:

A: Consider the given function:

Q: For the following functions y = f (x), find f' (a) by using the definition of derivative at a point.…

A: Given:     To determine:

Q: find the derivative of the following functions

A: Derivative of xn is nxn-1 for n≠0. Derivative of a constant is equal to 0. One property of…

Q: Calculate the following derivative if f(x) = x*. f(4)(2) = %3D

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Q: For the following function f(x) = xe5x %3D Find the first derivative f'(x). Find the second…

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Q: For the pair of functions, find the derivative of the composite function f(t(x)) in terms of one…

A: Given that the composite function f(t(x)) in terms of one input variable. f(t) = 3t ; t(x)  =x3   To…

Q: Find the indicated derivative and simplify. 12 f'(x) for f(x) = x2 - 4 %3D f'(x) =D

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Q: For the function given in the below table, ,5 The approximation of f(x) dx using Mid – Point Rule is…

A: According to  Therefore, n=5∑i=12x2i+1-x2i-1fx2i-1+x2i+12=x3-x1fx1+x32+x5-x3fx3+x52 NOW

Q: For the following function: f(x)=3 arccos Verify whether the following is the derivative: 3. f'(x) =…

A: We have given the function;

Q: Find the derivatives of the following function f(x) from the first principles  (i)x3

A:

Q: 1. For the following functions y=f (x), find f ' (a) by using the definition of derivative at a…

A: Here we use the definition of derivative.

Q: please find h'(1) based of given h(x)=f(g(x))

A:

Q: Given f(x) = 3 x² – 2 vx , which of the following expressions will represent the first step when…

A: Given,          fx=3x2-2xWe know that,          The derivative of a function, fx using the…

Q: Use the figure below to calculate the derivative, h'(3) if h(x)=f(x))^4

A: It is given that,

Q: 2. For each of the following functions, find the indicated derivative using the definition. Show…

A: “Since you have posted a question with multiple sub-parts,  according to our guidelines we will…

Q: Then E (X) is equal to

A:

Q: Find the derivative of the function. f(x) = (7 − e−2x)6   f '(x) =

A: To determine the derivative of the function.

Q: For the following function, find the equation of the tangent line at the point (1, 2). f(x)=√9x² - 1…

A: We have to find equation of tangent line

Q: The derivative of the function ein(10) is equal to

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Q: Find the derivative f(x) of the following function with respect to x: fm(x) = > n=D1

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Q: The value of the second derivative of y = f(x) at its point of inflection is В. О D. 2 А. 1 С. -1

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Q: Find all possible functions with the given derivative. f'(x) = x* f(x) =O

A: To find out the function.

Q: What is the first derivative with respect to x of the function g(x)= 4/9 * О 4/9 O 4 O 12

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Q: Differentiate the following with respect to x: d) e 2

A:

Q: For the following function f(x) = xe5x Find the first derivative f'(x).

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Q: For the following exercises, find the equation of the tangent line to each of the given functions at…

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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.