Consider the following table of values of the functions f and g and their derivatives at various points. a. Find D,(f[g(x)]) at x = 2. b. Find D,(g[f(x)]) at x = 4. D,(f[g(x)]) at x = 2 is. (Type an integer or a simplified fraction.) D(g[f(x)]) at x = 4 is (Type an integer or a simplified fraction.) 主 1 2 3 4 f(x) f'(x) g(x) gʻ(x) 1 - 9 4 2 - 3 - 6 - 5 4 2 3 1/5 3/5 2/5 4/5

Q: 89. Suppose that functions f and g and their derivatives with respect to x have the following values…

A: * As per our guidelines, we are supposed to solve only the first three problems/subdivisions. Please…

Q: Assume that a is a constant and that y is implicitly a function of x. Compute the derivative with…

A: Derivative of a2 with respect to x:            =ddxa2=2addxa=0…

Q: Find the derivative of function defined as follows. h(x) = x-1/2 - 14x-3/2

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Q: Find the first derivative for the following function. Vx4 – 3 (2х — 5)"] f(x) = ln (2x-5)7 Vx4-3 2x3…

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Q: Suppose that functions ƒ(x) and g(x) and their first derivativeshave the following values at x = 0…

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Q: find the derivatives of the following functions f(x)=(3x2 +5)2(x3-11)4 f(x)=COS4(x+1/x-1)

A: 1st question :Given,         f(x) = (3x2+5)2(x3-11)4

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Q: 2ƒ(x), x = 2

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Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

Q: In the given question , find the derivatives from the left and from the right at x = 1 (if they…

A: Given that the function f(x) = | x - 1|

Q: 1. Find the derivative of the following functions at an arbitrary point x: 8 a. f(x) = x3/2 b. f(x)…

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Q: Find the derivative of the following: 1. y=x(V1- x³ ) 1+x 2. у-. 1-x (x³+5) V4-x² 3. у — x*-x2+6 sin…

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Q: Compute the derivatives at the given value of a g(x)=(3x-5)/(x-2)     a=1

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y=x" In x - O A. 4x-x O B. x*…

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Q: 1. Determine the derivatives of the following functions (a) y = (x² - 2)²

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A: Find derivative using  definition of f(x)=1x at a=4

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Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

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Q: Find the derivatives of the following functions. f(x) = (-2/3)x - (1/2)x? + 9x f(x) = f(x) = x* sin…

A: We will use following formulas of derivative to find Derivatives of Given function. ddx(UV) =U…

Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

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Q: [8] Use the definition f(a +h) – f(a) f'(a) = lim h-0 h To find the derivative of the given function…

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Q: Suppose that a function f(x) has derivative f' (x) = g(x)+ h(x) for some functions g(x) and h(x).…

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Q: Find the derivative of function defined as follows. h(x) = (x2 - 1)3

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Q: Compute the derivative of the following function. f(x) = 3x e 3x f'(x) = O

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Q: In the given question , use the alternative form of the derivative to find the derivative at x = c,…

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Q: 5. Find the requested derivative for each function, and simplify (reasonably): a) f"(x) for f(x) =…

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Q: Obtain the derivatives of the following functions f(æ), using the Simple chain rule and enter your…

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Q: Suppose that functions f and g and their derivatives with respect to x have the following values at…

A: Note: Since we are authorized to answer three sub-parts of a question at a time. And you have asked…

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A: Derivative is a function which measures the slope. And we find by differentiating a function of the…

Q: Find the derivative of the following function by first simplifying the exp x2 - 64 g(x) = x-8 ....…

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Q: Suppose that the functions f and g and their derivatives with respect to x have the following values…

A: x      f(x)    g(x)     f1(x)    g1(x)      3      1      4      6     3      4…

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A: To find the derivative of the given function.

Q: Suppose that functions f(x) and g(x) and their first derivatives have the following values at x = 0…

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Q: Suppose that the functions f and g and their derivatives with respect to X have the following values…

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Q: x + 4) (2x – 1)   c) f (x) = π3   d) f (x) = 5x   e) f (x) = 4x −3/7 + 8x-1/2 + 5   f) f (x)…

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Q: Compute the derivative function f'(x) algebraically. f(x) =x²-9 O a. f'(x)= 2x O b. f'(x)=2 O c.…

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