Evaluate the derivative (r1(t) × r2(t)) where r1(t) =< t², t", t > and r2(t) =< 0, e', 0 >. (Use symbolic notation and fractions where needed. Give your answer in the form of comma separated list of x, y, zcomponents.)

Q: (v) Let f(x) = /2x – 1, for r > 0. Use the definition of the derivative to compute f'(x).

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A: topic  -  derivative of exponential function

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A: Let's find.

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A: To show that the function f defined as below is differentiable on A and compute its derivative

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Q: compute the derivative indicated. g(x, y, z) =x2 + y2 + z2, gxyz

A: Given function g(x, y, z) = x2 + y2 + z2

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. y= In(In 9x)

A: The solution for the above question is as shown below.

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Q: Use the rules for derivatives to find the derivative of function defined as follows.

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A: GIVEN f(x) = 2√ x CALCULATE f'(x) = 1/ √ x

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A: Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A: Given f(x)=x2-2 c=5

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A: We find out the derivative of given function .we differentiate both sides with respect to z and take…

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Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 67) y = In 8x2

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Q: II) By using the limit definition of derivative, prove the identity J dzf(2)8' (2) = - / da f…

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Q: 3) Use the definition to find the derivative of f(t) = +1 t+1 %3D

A: f'(t) = -1/t2

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Q: Show that the derivative of f(x) = 2/x+3 is J (4) = VI ob no using the definition of the derivative.…

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Q: Find ☆ f'(x) using using derivative rules. f(x) =Dx+ 2 to 11

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