Determine the derivative of the function defined by h(x, y) = Arctan () + v3Arcsin () %3D at the point P(1, 1) in the direction of = 3i-2j.

Q: Compute the indicated derivative using the chain rule. dy x = 4 + 3t, y = -7t; dx dy dx ||

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Q: Find the derivative of y with respect to x. y = (x³ In x) dy dx

A: Given:           y=(x2 lnx)5 To find:            dydx

Q: Can you help me with this problem step by step?

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Q: Compute the indicated derivative using the chain rule. x = 6 + 3t, y = −8t;  dy dx

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Q: Find the derivative of y with respect to x

A: we are given an inverse function

Q: Find the derivative of the function. 5x g(x) = [¨ cos(r}]dt cosx

A: We will use Lebnitz rule to differentiate the function .

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 x, t, or 0, as appropriate. 16) y = In(cos(In 0)) %3D

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Q: Find the derivative of y with respect to x for y = 7*. dy dx II

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Q: Find the derivative of the y with respect to x. Y=on (13x)+x dy/dx

A: Given  Y=13x+xdydx To find derivative of y with respect to x

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: Compute the indicated derivative using the chain rule. dy x = 5 + 3t, y = -8t; dx dy %3D dx

A: We have to find the indicated derivative by using chain rule: x=5+3t, y=-8t Differentiating first…

Q: Find the derivative of y with respect to x. y = (x° In x) ³ dy dx II

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Q: Find the derivative of y with respect to x. y=secant-1 (x 2+1),   x greater than 0.   dy/dx=????

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Q: Find the derivative of y with respect to x. y = sec -1 (3x2 + 1), X>0

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

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Q: Can you help me with this problem step by step?

A: To determine the derivative of given function.

Q: Find the derivative of the function. 2x F(x) = arctan(t) dt Vx F'(x) : %D

A: The given problem is to find the derivative of the given definite integral function. We have to use…

Q: Find the linear approximation of the function at the given point. f(x, y) = 4 sinx - 6 cos y at (0,-

A: Given,           The function fx,y=4sinx-6cosy  at  0,π2.

Q: Find the derivative of F(x) = 4 sin(t) dt. 3x %3D dx cos(x)

A: Solve the following

Q: the derivative of y with respect to v. 1 = In ( cosh (5v)) –· tanh 2(5v) 2 derivative of y with…

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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: y=In(x dy -

A: Given : y = ln1xx-5

Q: Find the derivative of y with respect to the appropriate variable. y= cosh 2x+2 O A. V(4x + 9)(x +…

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

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Q: Find the derivative of the function. 2x y = /3 cos(x) m cos(u") du y' =

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Q: Find the derivative of F(x) = 4 n sin(t) dt. %3D dx 3x² cos(x)

A: Integral calculus is one of the two main parts of calculus that is concerned with the study of…

Q: Compute the indicated derivative using the chain rule. dy x = 1 - t/3, y = 8t – 1;- dx dy dx

A: x=1-t3 differentiating with respective t dxdt=-13 y=8t-1 differentiating with respective t dydt=8

Q: Find the derivative of y with respect to x. y = 6x° sin -1 (6x) + /1- 36x° dy dx II

A: Given function is By using product rule of differentiation, we get

Q: Find the derivative of y = x4 sinh(z). dy/dx =

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Q: Give the derivative of f(x) arctan an(e³*) at the point where x = 0.

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Q: Find the derivative of the function F(x) sin 3t cos 2t dt.

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Q: Can you help me step by step with this problem?

A: Differentiate both sides w.r.t. x.And for addition we can apply the derivative separately on both…

Q: Find the derivative of y with respect to z. y In (sinh 3z) y -

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Q: The derivative of the function y 1 = COS Va at a = 0 is equal to

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Q: Find the derivative of y with respect to x. y= (x° Inx)° 9. %3D dy dx

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Q: Find the derivative of the function. sin(x) y = /cos(x) In(8 + 3v) dv y'(x) = 0

A: Here we use Leibniz integral rule and define the formula:

Q: What is the derivative of x² + y² = 9 using mplicit differentiation? dx = xy dy dx = -xy dy dx dy dx…

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

Q: Find the derivative of F(x)

A: To Determine: find the derivative of F(x) Given: we have Fx=∫2x3costdt Explanation: we have a…

Q: 1. Find the derivative of the function:F(x)= [ (Vt arctan t)dt .

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Q: can you help me step by step with this problem?

A: Please see the white board. Let's differentiate both sides with resepct to x.Recall that:d(cosx)/dx…

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

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Q: Find the derivative of y with respect to x. 6 y = (x³ In x) %3D dy dx II

A: Please see the below picture for detailed solution.

Q: Find the derivative of y with respect to X Y=cos^-1 ( 3x^7) dy/dx=

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Q: Find the derivative of y with respect to x. 1 y = In x/x+5 dy dx II

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Q: Find the derivative of the function. 1 g(x) = dt Jtan(x) V2 +

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Q: Find the derivative of y with respect to x for y = sinh(15 15x ). -1 dy

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Q: Compute the second derivative of e^x+y+y^2+x^3=0. y" denotes, d^2y/dx^2

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Q: Can you help me with this problem step by step?

A: To determine the first derivative of the function.