The amount of money (in billions of U.S. dollars) that a country spends on research and development can be approximated by the function f(t) = 40 e 0.19t where t=0 corresponds to the year 2000 Find the value of the derivative in the year 2012. The derivative of the function is f'(t) = The value of the derivative in the year 2012 is (Round to two decimal places as needed.)

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Find the derivative of the function y=(ex−1)(ex+2) and calculate its value at x=0.

A: Differentiating with respect to x, we get

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A:

Q: Find the derivative of the function

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A:

Q: Can you help me step by step?

A: Differentiate with respect to x,

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A:

Q: What is the second derivative of f (x) = e²?

A:

Q: What is the derivative of y = e2 +1, with respect to x?

A: Formula used

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

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A:

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A:

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

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Q: 1) Find the second derivative of f(x)= 24\x . (6) 2) If y = cos x, what is y (x)?

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Q: Find the derivative of the (e) h(x) = e5 sin (Væ) + a° sec ()-

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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Q: Find the second derivative, dz2 where y is related to x implicitly by the equation below. 2x + 4y =…

A: we have to find derivative

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Q: Why is the notation dy/dx used to represent the derivative?

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Q: Find the derivative of the function f(x) = 9e6 + e_™". f'(x) =

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Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: How do I find the derivative of this problem?

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Q: Find the derivative of F(x) = t°e' ln tdt.

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Q: Find the derivative of the function. y = log |5- 2x dy dx

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Q: What is the second derivative of * f(x) = e²?

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Q: (4)The instantaneous rate of change of f(r) = e- at a = 1 is . .. (5) The derivative of f(x) = sec2…

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Q: Find the second derivative f"(x) for f(x) = e(#+2)*.

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Q: Find the derivative of the function.

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A: First we will differentiate exponential part then we eill differentiate algebraic part