Use the Chain Rule to check that the derivative of d dx 5 2(4-x-)- = = 1 (ਜ) 5 d 2 dx 5 2(4 – x²)² d (C) dx 1 (੨) 3 4 - 2 + C is the integrand of the original integra ]x) + 0

Q: Show that the derivative of FOx) =x² is f'x)=2x using the defimition

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Q: Complete the differentiation formulas a) d/dx(c)= b) d/dx(ax+b)= c) d/dx(x^n)= d) d/dx(1/x)= d)…

A: We have to find derivative

Q: What is the derivative of 1+x3 at the point (1, )? O 1/4 O- 1/4 O 1

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Q: Q1 Prove that the derivative of (2x +1) 2 is 4 (2x + 1) by using first principle derivative.

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Q: Find the first and second derivates of the functions. h(t) = t^4 - 7t^3 + 5t^2 - 8t - 14…

A: Find the first and second derivative of the function

Q: The reciprocal squared function f(x)=1/x^2 shifted to the right 2 units.

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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: Find the derivative of f(a) %3D 울 -울 + 4VE

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Q: Compute the derivative of y= [(x+1)/x^3-1)]^1/2

A: The given function is y=x+1x3-112. Obtain the derivative as follows.

Q: Find the derivative of y=fG)= Jx3 + x2 * Do not use product quotient rule. or

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Q: Find the first and second derivative if w = 3z-2-(1/z)

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Q: Use derivative to show that fx)= In(x²1) %3D is one-to-one.

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Q: Find the derivative 3a+bt3 2b f(t) =+ V6at6. 5 3t

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Q: b) caleulate the lerivative of f Cx) by USing product rule flx) = (2-3x)? the

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