nd a in terms of u when : U= Vln(z) +2, u = ln(3 +1), u = arctan(e® +1)

Q: Differentiate. g(t)=31t g' (t) =

A: To differentiate the following function.

Q: Differentiate and simplify this function g (y) = y3 / ln(2y)

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Q: = = √²* (t²³ + 5t² + 4) dt 0 If f(x)= then f''(x) =

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Q: Let V(t) be the volume, in cubic inches of a balloon that is being filled with air after 't seconds.…

A: The derivative of a real valued function interprets the rate of changing of the function. It has a…

Q: 3) Find the total derivative for each the following cases: a) Find dy/dx: y = 4x2 + 2x², where ==…

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Q: Consider the aleatory variable X with densidad: f (x) = (1/6)x 2 ≤ x ≤ 4 a)…

A: Let X be a continuous random variable with the range [a, b] then the probability density function…

Q: Jse the Chain Rule to find дz for z = ln(x² + y), x = st², y = ¹/s. Ət

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Q: xy + e^y = ln(x + y) defines y as a function of x implicitly for the most part. Express dy/dx in…

A: Given an equation, Where y is a function of x.

Q: do implicit diff for thi with respect to x (xy)^(1/2) = 4 + x^(2)y

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Q: Differentiate. g(t) = 21t g' (t) =

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Q: Differentiate Fa) =t 3x-8 F'(x) = = (X) %3D

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Q: 15. f(t) = e" sin bt

A: Given function f(t) = eat sin(bt)

Q: Show that d/dz(z^2 z ̅) does not exist anywhere.

A: Here we show that ddzz2z does not exist anywhere.

Q: e'dt

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Q: d'y If y = In(secx) and when x = then equals 4 dx? (a) 2 (b) 0 (c) 1 (d) 4 (е) 4

A: In this question we have to find the value of d2ydx2 when x=π4. Formula used,…

Q: Q12: use differentials to estimate (26. 96)3

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Q: Let f(u)=u^3 and g(x)=u=6x^4+2. Find (f o g)'(1).

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Q: Find f'(-1) if tæ) - [1- -1). (x-1). %3D O a) -1 O b) -2 O d) o

A: We have to find f'(-1) if f(x)=1-1xx-1.