b) y = vs3 + 1 dy dt

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A: From the given problem:   ∫67tsec8x+96dx   Applying the Leibnitz rule:…

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A:

Q: What is the derivative of y=arc sec V3a ? SzV3r 1 2r/3r 1 2r/Sr

A: Recall: ddxsec-1(x) =1xx2-1

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A:

Q: Find the derivative of y with respect to t. y= sin 1(10t) dy dt %3D

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Q: Find the derivative of y with respect to t. y= tan -1Vt dy dt

A: We can solve the given problem using the chain rule of derivative.

Q: Find the derivative of f(x, y) = xey + cosxy at the point (2,0) in the ection.

A: Hi! Thank you for the question, As per the honor code, we are allowed to answer one question at a…

Q: Find the derivative of f(x) f(x)= integral 1 to sinx of (1+t^3)^(1/4)dt

A:

Q: 1. Use the definitio

A: SINCE YOU HAVE ASKED MULTIPLE QUESTIONS IN SINGLE REQUEST, WE WILL BE ANSWERING ONLY THE FIRST…

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A:

Q: Calculate the derivative of y with respect to x, if x/2 +y 3/2 = 7. dy dx

A:

Q: What is the derivative of f(z) = cosh(r) + sinh(r)?

A: To find the derivative of  f(x)=coshx+sinhx

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A:

Q: The directional derivative of f(x, y) = 2e* cos y at (0, ) in the direction of v = (-6, 8) is

A:

Q: Find the derivative of the function.

A: we have to find the derivative of the function F(x)=∫1x1+t4dt

Q: Find the directional derivative of f(x, y) = V5x + 3y at the point (0, 2) in the direction 0 3…

A: f(x,y) = 5k+3yt point (0,2)in direction θ= 5π4 radiusto find directional derivativesolution1)…

Q: Find the derivative dy/dx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

A:

Q: Find the derivative dydx of the cardioid given by the equation r=f(θ)=a(1+cosθ).

A:

Q: V 92) Inl Cosn

A: Derivative of hyperbolic function

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A:

Q: What is the derivative of f(x,y) y° at P = (3, 1) in the direction toward %3D Q = (4, –3)?

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Q: Find the derivative of y with respect to x. y = (3x + 4)* dy %3D dx II

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Q: Find the fourth derivative of f (z) = 2z¬3 Vā lal * sin (a) f(4) (z) =

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Q: Find the derivative of y with respect to z. y=5(2%) dy dz

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Q: Calculate the derivative indicated.

A: We have to calculate the indicated derivative drdtt=4 for the given function: r=t-et We know the…

Q: What is the derivative of y = sin1 (x² + 2)? dy dr /1-(z²+2)² dy O dr 2x V1-(2²+2)² O dz V1+(x²+2)²…

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Q: 2x f(x) sec(t*) dt. %3D -2x

A: Given,            f(x) =∫-2x2xsect4 dt

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A: To find derivative of y=tan-1x2+1

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Q: Find the derivative of y with respect to x. y = sec 1(3x? + 1), x>0 dy dx II

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Q: The directional derivative of f(x, y) = -e" cos y at (0, ) in the direction of v = (-6,8) is

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Q: Find the particular anti derivative that satisfies the following conditions: dy/dx=3x+5/sqrt3 of x;…

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Q: Find the derivative of y with respect to z. y=3 (2°) dy dz II

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Q: dy Find by implicit differentiation when dr? æ cos(y) = -4y dy dx? ||

A: Given the equation      xcosy=−4y        ........(1)

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A: Explanation of the solution is given below...

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Q: Find the derivative of 3 x +7 y = 8 dy %3D dx

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Q: Find the derivative of y = VT(x + 38). %3D dy dx

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Q: at dz = (4자) 424-4%.

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Q: Find the derivative of y with respect to x if y = (10x- 20x + 20) ex. %3D dy dx

A: We can make it easier for you

Q: The directional derivative of f(x, y) = e" cos y at (0, ) in the direction of v = (-6,8) is

A: