Find the derivative of the following functions: tan (2x²-1) 1. f(x) = sin(2x²-1) 2. f(x) = sin² 4x 3. f(x) = cscx - sec 2x =

Q: 7. уз y =/x³ – 1/1+ vx

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Q: y = 4x° + 4x at (1, 2)

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Q: 6. f(x) = (5x7 + 19x³ + 2x – 12)²200 f'(x) =

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Q: 7. f(x) = 6e* + log2(7x² + 3x + 1) f'(x) =

A: Given: fx=6ex+log27x2+3x+1 Differentiating fx with respect to x, f'x=ddx6ex+log27x2+3x+1…

Q: dy is: then Q36. If y=e dx log x a (c) e (d) none o: log + (a) e (b) 1+- x+a 1+ x² +a²

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Q: Find the derivative of f(x) = (x-2x)2 A) f'(x) = 6x5 - 12x3+ 8x B) f'(x) = 6x5- 16x3 + 8x %3D C)…

A: Here we find the derivatives of function.

Q: IV. Find of the following. dx 1. x-(1-2y +3y2) y-2 | 2. x = (3 + y² Xy +1)³ 3. = V1-t *ly=1 +t %3D

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Q: find the derivative

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Q: Find the derivative of the function

A: Given:y=arctanx+x1+x2Differentiate formula:ddxarc tanx=11+x2ddxuv=vdudx-udvdxv2

Q: find the derivative.

A: We know that , if Then, by Second Fundamental theorem of calculus, we have

Q: 2v f(v) = 2 - %3D 3

A: f(v) = 2 - 2v/3 We know that if, f(v) = vn Then, f'(v) = nvn-1

Q: i need to find the derivative

A: Given that the function is

Q: Find the second derivative of y² + 2x³ = 1 – 4y

A: The given equation is y2+2x3=1-4y Rewrite as  y2+2x3+4y=1 differentiate…

Q: ii) y = e**-2x + x²-e

A: We need to find the first derivative of the following y=ex3−2x+x2−e so we we need to find value of…

Q: Use the derivative method to find S(Comien, d=500) = ? 5 ( Comin, o=500) = ? Comin - Cr√d² w₂² with:…

A: We are given the following information. Cmin=Crd2-w2+Cb2-Cr2·wwith:Cr=30,000w=300Cb=45,000 Using the…

Q: If 2x² + y² = 19 then evaluate when z = when = 3 and y = 1. (Answer accurate to two decimal places.)

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Q: y = V3x +7ex

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Q: Find the derivative

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Q: y = Vsin (x)+ /sin(x)+. sin (x)+ sin (x)+ Vsin (x)+

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