Calculate the derivative using the appropriate rule or combination of rules. 22 + 2z – 8 z2+ z – 2 g(2) z+2 z+4 d(2) =

Q: find the derivative of f(t) t^3+3/t

A: It is derivative problem.

Q: Q. 2 (a) find the derivatives for the following functions. (i) y = 5x – 6x³ (ii) (x²+5) / (x+3)…

A: “Since you have posted a question with multiple sub-parts, we will solve first three sub-parts for…

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

A: Given function is, st=t3-2t4t-34. It is differentiated by apply the quotient rule, fg'=f'g-fg'g2.…

Q: Find the derivative of the function. g(u) =√u+1(1 − 5u2)7

A: Write g(u) using exponent

Q: (4x + 3) 3 C. y =Tx-2)? %3D

A:

Q: Find the derivatives of the functions ƒ(t) = t2 - 1/t2 + t - 2

A: We write f(t) using exponents first, then find the derivatives using the power rule.

Q: Q-1Find the derivatives of the functions 1- Y+In (xy) =1 2. Inxf 9.

A: Note:- Derivative of the product of two functions is ddx fx·gx  =f'x·gx+fx·g'x   Part (1):-  Given…

Q: 3. Find the derivative of y with respect to x in the following functions : 18x'y (3x'-2)' u? a) y= u…

A: We have to calculate derivative of the given functions.

Q: Use the rules for derivatives to find the derivative of function defined as follows. q = (e2p + 1 -…

A: Use the rules for derivatives to find the derivative of function defined as follows. q = (e2p + 1 -…

Q: Find the derivative of the function. f(e) = (3t + 18)2/3 2 f (e) = 3/3t + 18

A: Topic:- derivatives

Q: Q3/ B) Find the derivative of the following functions. 1. ху3(х-у)+1 2. y=e*secx

A:

Q: Q. 2 (a) find the derivatives for the following functions. (i) y = 5x - 6x (ii) (x²+5) / (x+3) (iii)…

A: Note: Since, you haven't mentioned which question you would like to answered. Here, we are providing…

Q: Find the derivatives of f(x)=(ax4+b)6   and   f(x)=axe-bx+15 Assume that a and b are constants.

A: Given query is to find the derivative of the expression.

Q: Find the derivative of the function g(t) =(( t-2) / (2t+1)) 9

A: we have to find the derivative of the given function g(t)=t-22t+19

Q: 1. Find the derivative of the following function. 4. f(w) = 3D 6w* +3w +2w f'(w) = %3D

A: As per our guidelines we are supposed to answer only one question.Kindly repost other question as…

Q: 3. Find the derivative of y with respect to x in the followin u? a) у3 u = 3x' - 2 and u' + 1 b)…

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Q: 2.5.042. Find the derivative of the function. s(t) t2 + 8t-5 %3!

A: Topic:- derivatives

Q: Find the derivative of the function at the given point in the direction of A. f(x, y) = -10x2 + 5y,…

A: This question is related to directional derivative of a function, we will solve it by finding…

Q: Q. 2 (a) find the derivatives for the following functions. (1) y = 5x - 6x' (ii) (x'+5)/(x+3) (ii) y…

A:

Q: Using these derivatives in the product rule, we get the following. (32) + (² + 1) (4«* – 19°(4t²))…

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Q: Q. 6. Consider f (x) = -* + 2x + 1. x3 3x2 3 Use derivatives to separate the regions where function…

A: If f′(x) > 0, then f is increasing on the interval,and if f′(x) < 0, then f is decreasing on…

Q: Find the derivative of the function Z=3t^(11/3)-2t^(9/4)-t^(1/2)+1

A:

Q: Find the derivative of y with respect to x. 6х + 11 y = - csc 7 O A. 42 |6x + 11|V(6x + 11)2 – 49 O…

A: ddx(cosec-1x)=-1xx2-1

Q: The function is given by implicitly by the equation xy² +x?y+x?y² = 3. Find the derivative of y in x…

A: Here we use derivation in the function

Q: 2. Determine the derivative of g(t) = 8°[(2t + 1)² + t].

A: Given that     g(t) = 8t[(2t+1)2+t]

Q: Find the derivative of the function. 3-t z= 9+1? Choose the correct answer below. 2- 6t-9 O A. z'=…

A:

Q: Find the derivative of the function. 8. u3. =D3 g(u) u + 3

A: Topic:- application of derivatives

Q: Q3/ B) Find the derivative of the following functions. 1. ay=(x-y*+1 2. y=e*

A:

Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

A:

Q: (x² – y²)² – 4ay³ = yCosx + xCosy = 1

A: We have to find the derivative of the above functions .

Q: Find the derivative of the function. C = Choose the correct answer below. O A. c' = (6)(0) – (k³)…

A:

Q: Find the derivative of the function. 2 m= Choose the correct answer below. (2)0) - (n?) (2n) m' OB.…

A:

Q: Given t(z) = 6x* - x +7x + 4, find t' (x) using the definition of a derivative. (Do not include "ť'…

A: Given function is - t(x)=6x4-x3+7x+4 To find t'(x) using definition of derivative. Differentiation…

Q: 1. Use the Power Rule and properties of derivatives to find the derivative of each function a) f(x)…

A: Here we have to find the derivative by using power rule and the properties of the derivative.

Q: Find the derivative of the function. G(z) = (1 – 3z)2V z? + 1 G'(z) =

A:

Q: Find the derivative of g(t) = 4t2 + 8t at t = 3 algebraically. g'(3) =

A: Topic:- derivatives

Q: x² + 1 What is the derivative of y= - x2 + 4 A None of the given choices 10x B (x² + 4)²

A: The given function is y=x2+1x2+4 Differentiate with respect to x,

Q: Find the derivative of y with respect to x, t, or 0, as appropriate. 17) y =x*in x -x3 A) 4x3 - x2…

A: Given, Find derivative of y=x4lnx-13x3 with respect to x

Q: nd the derivative of the functionf(x) = v 5x+6 using the limiting proces A) S'x)= - 2 5x+6 Sx) = 2…

A: We are asked to find the derivatives of the function using limiting process.

Q: Find the indicated derivative. 0.2 .2.9 fu)= 8u°2-9u²9 f(u) =

A:

Q: Find the derivative of the function. g(x) = e2a-5z+3 (6x? - 5) e2³–5x+3 O 23-5x+3 e622 -5 (2x - 5x…

A:

Q: Q2. Find the derivative (the first derivative): a- Y = In (7-2 x 3 )4 Y= (3 x4+9)/(x+5) C- b- 100=…

A:

Q: Find the derivative of the function. 7 y = - Choose the correct answer below. OA. (x*) (6x³) –…

A: Use quotient rule of differentiation. Use power rule of differentiation.

Q: Find the derivative of the function. Z = 5t11/5 - 2t7/4 - t/2 + 7

A: Solve for the derivative

Q: Find the derivative of the following function. 3. 一 2 +2x 2 y3 5x +x°-2 y' =D

A:

Q: -6x 11x-5 + 22x-1 +5' — 6х 4 — 13х 3 2. (7 points) Find the derivative of h(x) = Do NOT simplify.

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Q: Get the first order derivative of the function x? – 3x5y* + 2x = 5. y 2xy-15x*y*+6x² 5-x²+15x=y* a.…

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Q: B) Find the derivatives of the following functions 2) y=2 Vx-1 sec Vĩ 2 (x+1)10 (2x+1)5 7) y=ttanh…

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Q: 4. Find the derivatives of the following functions. a. y= 2x b. y = x³ C. y= 4x -7

A: a. y=2x Differentiating both side with respect to x dydx=2b.y=x3Differentiating both side with…

Q: (b) Find the derivative of the function f(r) = ( + 6)1²(4 – 17.")18 X -

A: