Calculate the derivative indicated. d²y dz? \z=8 y = where + 522 Answer:

Q: d the equation to the tangent line to the curve y= 4 -r* where x=1.

A:

Q: Calculate the derivative of the following functlon. 18 y3 (csc x+ cot x) dy %3D Xp

A: Given function, y = (csc x + cot x)18                                   ⇒ddx ( csc(x ) + cot ( x )…

Q: Find an equation of the tangent line to the curve at thegiven point.

A: Given curve:

Q: Find the slope of the tangent line to the curve – 2x? + 4xy + y³ = 8 at the point (4, 2).

A:

Q: Calculate the derivative of the following function. y = sin (9t – 10)

A: Use chain rule to perform this types of differentiation first let p= 9t-10    then find dp/dt and…

Q: Calculate the derivative of the following function. y = 11+ tan²x dy %3D dx

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Q: Calculate the derivative indicated. d'y 8. Y = 3x 3/4 dz

A: Consider the given function as y=3x-34

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

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Q: Find the derivative of y with respect to Z. y=72?)

A: Given,         y=7z2

Q: 7x y = cot t' 5x?

A:

Q: Evaluate the derivative for the function y = 4Vt cosh VE – sinh(t²).

A: Given: y = 4tcosht - sinh(t2) To find: dydt

Q: Find the equation of the tangent line at the given value of x on the curve. y + xy? - 5 =x+3y; x= 3…

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Q: Calculate the derivative indicated in the figure below

A: rs=s, 2s, s2

Q: Calculate the derivative of the following function. y= cos (sin (9x))- dy dx

A: We know d(xn)/dx = n.xn-1 d(cos x)/dx = -sin x d(sin x)/dx = cos x d(kx)/dx = k

Q: find the indicated derivatives

A: z=1w2-1⇒z=1w2-112⇒z=w2-1-12

Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And…

Q: Calculate the derivative indicated. r'(t), r(t) =〈1 − t,t^(−2), ln t〉

A: Given rt=1-t,t-2,lnt.

Q: Find the higher order derivative a. y = 49x49 ; find d50y (50th de dx50

A:

Q: Find the derivative. y = 5t cos (t) dt

A: To find the derivative of: y=∫0x5t cos(t6) dt...(1) The Fundamental Theorem of Calculus says:…

Q: Find the derivative of the function. F(t) = est sin(2t)

A: Use the chain rule of derivative and simplify.

Q: Find the equation of the tangent line to the graph of f (x) = Vx + 169 at the point (0, 13). Answer…

A: We havve to find the equation of the tangent line to the graph off(x) = x+169 at the point (0,13).

Q: Estimate the slope of the tangent line at the point indicated.

A:

Q: Calculate the derivative indicated.

A: Given: dRdWW=1    R=Wπ

Q: F'irond, Che derivative: y

A: Given: y=6x+7x2-x+3 We know that ddxuv=vdudx-udvdxv2…

Q: y = √√x S 0 10 5t cos (¹0) de dt

A:

Q: Can i get help step by step please

A: We have to use the formula: with a=11

Q: Calculate the derivative indicated.

A: Since, y=4t-3+3t2  -(i)dydt=ddt4t-3+3t2=-12t-4+6t⇒dydt=-12t-4+6t

Q: Calculate the derivative: d dx * ST (6t3 – 9t) dt = -

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Q: Evaluate the derivative of the function r(t)=⟨sin2t,cost,2sect⟩ at t=π6.

A: To find the derivative of the given function.

Q: Calculate the derivative indicated. dy where y = 5- x3 + 3x? dx2 Ix=1

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Q: dy y = V3x? – 4x +7; dx

A:

Q: Calculate the derivative of the following function. y = (csc x+ cot x) dy dx II

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Q: Calculate the derivative indicated. d'y 1 + 7x2 where dx2 \x=6 Y = 2- x3

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Q: Find the derivative of f (y) = 4 sin? (y4). %3D

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Q: Calculate the derivative indicated. d'y where dx? Ix=8 y = 6- x3 + 5x?

A: An equation is given as y=6x3+5x2. The objective is to find the second derivative of the given…

Q: Find the derivative of the following function. y = 2 sec x+ csc x dy dx

A: The given function is,

Q: Find the derivative of y = r/10 dy dz

A:

Q: Find the slope of the tangent line to the curve at the given value of the parameter. x= 2t2 +5t y=t3…

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Q: 2. x?y2 - 3xy = 4x +y+1 at (0, - 1)

A:

Q: Calculate the derivative of the following functions

A: The given function is y=θ2sec5θ

Q: Calculate the derivative indicated. dy where 9. r3 + 9x? dx? lx=5

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Q: Calculate the derivative indicated. d'y 2 where y = 4. dx? x=7 Answer:

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Q: Find the slope of the tangent line to the curve 2a? – 4xy – 4y³ = 4 at the point ( – 2, – 1).

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Q: Find the slope of the tangent line to the curve (a lemniscate) 2(a² + y?)' = 25 (æ² – y²) at the…

A: The given equation of the curve: 2x2+y22=25x2-y2

Q: Find an equation of the tangent line to the curve at the given point. y = v x, (81, 9) y = |0

A: y = xdifferentiate with respect to x,dydx= 12xdydx(81,9)= 1281=118

Q: Find the derivatives and then find an equation to the Tangent line at the indicated point. (1) y=…

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Q: Find the equation of the tangent line to the curve y = e' when it is paralel to 2r-y =7.

A:

Q: At what point of the curve xy = (1 – x - y)2 is the tangent line parallel to the x-axis?

A: Given , xy=(1-x-y)2 . We need to find the point at which the tangent is parallel to x axis.…

Q: Find the derivative of y = 9* + 22. dy II

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Q: Find the derivative of the function y = 9 tan(2x). dy dx 11

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