consider the polynomial f (x) = 7x4- (2 + 2x + 6x2 + 5x3) -8x5. In x = 0.7, use the approximation in divided differences centered for the second derivative of F (x). Use a rack of Δx = 0.2 step.   F '' (x) ≈

Q: Given 3y = x^3 + 3x^2 - 9x + 3, Find the relative extrema of f by applying the second-derivative…

A: Given ,  3y=x3+3x2-9x+3. Let y= f(x) Above equation can be written as     y=x33+x2-3x+1     or…

Q: The derivative of f(x) = 3 (22 + 4x) is - O 3x + 12 O -3x-2(2x + 4) 3x-2(2x + 4) O 3 -3x-3 (2x + 4)

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Q: Find f'(x) and simplify. f(x) = 2x³ Inx Which of the following shows the correct application of the…

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Q: Find f'(x) and simplify. f(x) = 5x4 Inx

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Q: Let F(x)=x^2-13 and G(x)=18-x Find (F⋅G)(-1)=

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Q: f(x) = 6x3 - 9x + 4 +4

A:

Q: Consider the function f(x) = x^3 - 4x^2 + 5x - 2. Determine the points on the graph of f(x) at…

A: The tangent line to a graph of a function at a specific point is a line that just touches the graph…

Q: Find the f'(x) of f(x) = -2x³ + x⁴ + 2 over 3

A: Given:  f(x)=−2x3+x4+23 To Find: f'(x)=?

Q: Use the chain rule to find the derivative of 4(9x^4−9x^9)^18   You do not need to expand out your…

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Q: F(x)=x^3+3x^2+4x+3. Find the slope of the curve at x=2

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Q: On which interval(s) is the function h(t) = (−t^3) + 3(t^2) + 24t − 11 decreasing?

A:

Q: Suppose f(x)=x^4+3x+1 on the interval [−4,−1]. Find x when f′(x)=0.

A: Given function is Differentiating with respect to x , we get

Q: Determine f '(x) for the function

A: The derivative of the function is computed as follows.

Q: Differentiate: y dy dx 11 In(x) 26

A: Let's find derivative of given both  problem.

Q: the

A: We will find the derivative.

Q: Let _ƒ'(x) = f(x) = (–9x² − 7)³(-9x² + 2)-¹2 -

A: Given: fx=-9x2-75-9x2+2-12. To be find: expression for f'x. Formulas used:…

Q: Find the derivative (3t - 4) ^8 divided by t + 9

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Q: Find the derivative. [2x(x^6+1)^3]

A: Let y=2x(x6+1)3

Q: f(x) = (-8x²9)³(-9x²-4)-12

A: we will find the required.