Use the alternative fom of the derivative to find the derivative ot Xo C, if it Exits. f(x) = Ix-6l, C=6 %3D

Q: Use the fact that e4x = (ex)4 to find d/dx(e4x). Simplify the derivative as much as possible.

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Q: Use an appropriate form of the chain rule to find the derivative. R = e3s=t"; 3s-t2 s = 4ø, t= $/2…

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Q: Find the derivative of the function y= 6e 4x 3x+4 The derivative is

A: Please refer the attached image for complete solution.

Q: dy is: Given y 12ln2x - tan4x, its derivative dz

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Q: use the Chain Rule to find the derivative. y = (t2 + 3t + 1)−5/2

A: Given: y=t2+3t+1-52 Let, t2+3t+1=u Then, by using the chain rule dydt can be found out as,…

Q: Use the Chain Rule to find the derivative. y = (t2 + 3t + 1) -5/2

A: Here given y = (t2 + 3t + 1) -5/2

Q: If f(x,y) = x3y + exy^2, find the derivatives of df/dx and d2f/dxdy.

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Q: Use an appropriate form of the chain rule to find the derivative. R = e8s-t. = 4ø, t= ¢'/2 S dR dø…

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Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

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Q: V. Find the third derivative q = tsecv0.2t" +1 Where r is the last digit of your university ID.

A: It is given that: qt=tsec0.2t4+1 Let u=0.2t4+1 qt=tsecu Differentiate w.r.t t to get:…

Q: Find the derivative of the function. y = V 3 + 2e7 II y' = %D

A: To find detivative of y=√(3+2e^(7x))

Q: What is the derivative of y = V(x? V(a2 – 1) (x + 1) ? -

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Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t; s = 7p, t = 4/2 dR dø

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Q: Find D,y using the rules for finding derivatives. y= (sx² -2) (4x- 3x +8) Day= !!

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Q: In the given eqaution/s, find the derivative of the function:-   f (t)= (9t + 2)2 /3

A: Consider the given function. ft=9t+223 The chain rule is defined as. dfgtdt=ddtfgtddtgt

Q: Find the derivative of the function. q=V19r - r7 19 - 7,6 B)- -776 1 A)· V19r - r7 2V191 - 17 C)…

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Q: Let y= 9 x5 – 1. Find A, B, and C so that dY = AxB + C. A В C = Then find the value of the…

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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: Use the product rule to find the derivative of the following. P(y) = (y1+y-2) (2y-3-7y-4) %3D %3D…

A: We have to find derivative by using product rule

Q: Iff (x,y)=xcosy+ye*,find the second order derivative ô²f_ ô²f_ôf_ ô²f and дхду ôx² 'ôyôx' ôy²

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Q: find the values of the derivatives

A: Given: w=z+z first we differentiate given expression with respect to z then substitute z=4

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t"; s = 7¢, t 2 dR %3D do

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Q: Find the indicated derivative. q2 + 2 59 - 2 dp for for p = dq g* +2 p 5q – 2' q. dp dq

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Q: Find the derivative of the function. Re) = (6t + 17)2/3 f '(t) =

A: Given  ft=6t+723 To find the derivative chain rule is used F't=f'gxg'x and the derivative used…

Q: find the values of the derivatives.

A: Derivative of 24-x at x=0:

Q: Find the indicated derivative. dp for p = 1 - () 4q dp P. %3D

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Q: Use the Chain Rule to find the derivative. y = √(t2 + 9)

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Q: d? V5 - 2x . dx² 9) Find 10) Find the second derivative of k(z) = 4 cs z.

A: Given, a) d2dx25-2xb)k(z)=4 cosec z To find : Above values of differentiation.

Q: Compute the derivatives, where c is a constant.

A: Our Aim is to compute the derivative of the expression given below:-ddy9c2y3-24c-(i)

Q: Use an appropriate form of the chain rule to find the derivative. R = e5s-t; s = 5¢, t = 6/2 %3D dR…

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Q: Solve the differcential equation dy = xy - x, given that y = 2 when x = 0, expressing y in terms of…

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Q: Find the derivative. y e How did you determ

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Q: Find the derivative of the function. 8t? f(t): V 5t2 + 4t - 1

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Q: Use the quotient rule to find the derivative of the following. 2x +1 y%= * +7 dy %3D xp

A: We can find the derivative by quotient rule.

Q: d³y is Blank 1. dx- Find the third derivative of y= (x+5)2. The

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Q: Use an appropriate form of the chain rule to find the derivative. R= e5s-t. s = 80, t= ¢!/2 %3D dR…

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Q: Find the derivative of t2 + e3t e(t²+1) f(t) = %3D

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Q: Given that f(x) = 9x + x³ + 6, find the derivative of f- by using dy the formula dx 1 Check your…

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Q: Find the derivative, but do not simplify your answer. y = (x? + x + 2)(Vx - 2Vx +9)

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Q: Find D,y using the rules for finding derivatives. y = (9x² - 5) (3x² - 8x+4) Dxy=

A: Given: y = (9X2-5)(3X2-8X+4) Formula Used: Dxy = dydx ddx(uv) = dudxv+udvdx

Q: Find the derivative of the function. -Vx? y = + 36 6 + Vx2 + 36 1 In 36 6x2

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Q: Q: Find the derivative dy of the function: dx 3x – 4x? + 5+ Vr – 2Vx5 - y = x2

A: dydx3x3-4x2+5+x3-2x5x2=ddx3x3-4x2+5+x3-2x5·x2-3x3-4x2+5+x3-2x5·ddxx2x22=3·3x2-2·52x52-1-4·2x+13x13-1…

Q: Find using the rules for finding derivatives dx y= (2x? - 6) (8x? - 9x + 9) dy dx

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Q: Find the indicated derivative. dp for p da q2 + 2 49 - 3 dp dq

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Q: Find the derivative of the function. -2 y 14x-6x-9x dy dx

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Q: Use an appropriate form of the chain rule to find the derivative. R = e7s-t; s = 9ø, t= $/2 dR dø

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Q: 3w + w R(w) = 2w2 + 1

A: 1. Use the quotient rule ddxuv=vu'-uv'v2 to differentiate Rw=3w+w42w2+1 with respect to w. Here,…

Q: Find using the rules for finding derivatives. dx y= (2x? - 6) (8x? - 9x + 9) dy dx

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Q: The derivative of the function y = xe(5+sec(2x)) is: хе %3D

A: Explanation of the answer is as follows

Q: Given that dy/dx = ∛(x^2 ) and y=3 when x=-1, find the function f(x) in terms of x

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