'] Find the derivative of the function. a) y=c sint+\t cos t b) y = secx+e

Q: Find the derivative of the trigonometric function. У %3 бх сos(x) + x° sin(x) y' =

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: In Exercises 25–27, find the derivative of y with respect to the appro-priate variable. 25. y =…

A: Hey since there are multiple questions the first question is answered and repost the question if any…

Q: Find the derivative. g(x) = cosh(In(x)) %3D g'(x) = | 0 %3D Need Help? Read It

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Q: Compute the derivative. H(t) = sin t sec2 t

A: Here given the function as H(t)=sin t sec2t

Q: Does the function cos x х f(x) = 0, x = 0 have a derivative at x = 0? Explain.

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Q: Cos t dt. 2. Find the derivative of g(r) = :-

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Q: Calculate the derivative.

A: The power rule of integration is given by , where C is an integration constant. The chain rule of…

Q: Example: show that u(t)=sin t i + cos t j+ 5k has constant length and is orthogonal to its…

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Q: ,) Find by implicit differentiation. SHOW WORK!!! a. dx x* – x²y + y* = 1 .) Find an equation of the…

A: First find the derivative of the function at given point than write the equation of tangent line in…

Q: Determine the derivative of p(z) = z* + 4° + 4 cos(z)-sin( )

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Q: Find the directional derivative of f(x, y) = x² sin(2y) at (1, 7/2) in the direction of ở = 3i– 4j.

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Q: Find the directional derivative of f at P in the direction of a. f (x, y) = 7 tan-1 Р(-8, 8); а —…

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Q: Calculate the derivative of: '(14z) cos f(1) = sin (14x) r(e) =O

A: Given query is to find the the derivative of f(x).

Q: 17 Find derivative : f(t)= SVE et +t. f'(t) = ? %3D

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Q: Show that the function f(z) = e* – y?(cos(2xy) + isin(2xy)) is entire and find its derivative

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Q: Find the directional derivative of the function in the direction of u = cos(8)i + sin(8)j. fx, y) =…

A: Please note that according to guidelines only first Q is solved.

Q: compute the derivative. f (θ) = eθ (5 sin θ − 4 tan θ)

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Q: Find the derivative of the vector function below r(x ) = sin²(sec.x 2)i +csc³(Vx ² +1) j +8tan(x -k

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Q: Find the derivative of the function at P, in the direction of g(x,y) = x - (v² /x)+ /3 sec*(2xy),…

A: Given that  g(x,y)=x-y^2/x+√3arcsecx(2xy) P(1,1) A=12i+5j To find the directional derivative of g at…

Q: Compute the derivative. R(y) = (3 cosy - 4) / sin y

A: Differentiation is the rate of change of some variable with respect to the other variable. If a…

Q: a) Find the directional derivative of S = In(2r +3y) at point (-1,1) in the direction of 4i -3i

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

Q: Find the derivative of the trigonometric function.

A: Consider the given trigonometric function. fθ=θ+1cos θ   Product rule for differentiation.…

Q: QIFind the derivative of the function f(z, k) = z* – 16k + tanh(z) – 4 csc(k) in terms of z and k ?

A: Dear student  Here is the solution of your query

Q: What is the directional derivative of the function f(x.y)-2xy-3y at point p.- (5,5) in the direction…

A: To find: The directional derivative of the function f(x,y)=2xy-3y2 at point P=(5,5) in the direction…

Q: Use the Fundamental Theorem of Calculus to find the derivative of F(x) = tan(t?)dt

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Q: a) Find the directional derivative of S = In(2x +3y) at point (-1,1) in the direction ef 4i - 3i

A: The directional derivative of a function f(x, y) in the direction of the unit vector (a, b) is given…

Q: Compute the derivative for r(t) = (cos(8t))i + (sin°(t))j + (tan(6t))k.

A: Derivative of r(t) = cos (8t) i + sin9(t) j + tan (6t) k

Q: Find the derivative of f(x) = (sin a)" %3D

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Q: what is the derivative of arctan(u/1+4u)

A: To determine the first order derivative of the provided function.

Q: 2. Find equation of the tangent line at the point P given by t = where x(t) = cos (t) %3D y(t) =…

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Q: Find the derivative of the function at Po in the direction of A g(x, y) = x - (y/x) + V3 sec (2ry),…

A: Let us consider the given function z=f(x,y) The directional derivative of the function at Point P in…

Q: what is the derivative of y= xcos(x)sin(x)?

A: Given,

Q: Find the derivative of the function at P, in the direction of A g(x,v) = x - (y² /x)+ V3 sec (2xy),…

A: Given that  g(x,y)=x-y^2/x+√3arcsec(2xy) P(1,1) and A=12i+5j To find the directional derivative of g

Q: Find the derivative of the function at Po in the direction of u. f(x, y) = In( 6 x - 3 y), Po(-7, -4…

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Q: d (cos x) = - sin r. dx %3D Prove, using the definition of the derivative, that

A: y=cosxsinx+1

Q: find the derivative of y with respect to x, t, or u,as appropriate. y = ln (sec u + tan u)

A: Given:             y=lnsec u+tan u The derivative of y with respect to x,            ddxy=ddxlnsec…

Q: Find the derivative of (a) f(z) = (z+4 sin z) (1-7 cos z), and %3D sin z (b) g(z)

A: Part (a) Given function is fx=x+4sinx1-7cosx

Q: Find the derivative of the function. (0) = cos(0?) r(0) =

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Q: What is the directional derivative of the function f(x,y) = 2xy- 3y2 at point po= (5,5) in the…

A: Givenf(x,y)=2xy-3y2 ; p0=(5,5) ; u=4i+3jWe need to find directional derivative Duf(5,5)where…

Q: Compute the derivative. R(y) = 6 cos y-7 sin y

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Q: In Exercises 5-24, compute the derivative.

A: cos xsin x=cot x, 1sin x=csc xDerivative formulasddxcot x=-csc2(x), ddxcsc x=-cot x csc x

Q: 2- Find the derivative of y with respect to the Exercises 1-3. y 1- 6 sinh || 1 y sinh (2x + 1) 2-…

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Q: Find the derivative of the function x3 y = / 9vi sin(?) dt. %3D

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Q: 9. Find the directional derivative of f(x, y) = 3x² – y² + 5xy at (2,–1) in the direction of -3i –…

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Q: 2- Find the derivative of y with respect to the Exercises 1-3. = 6 sinh 1- 1 sinh (2x + 1) 2- In…

A: These are the hyperbolic function so use standard form of derivative of hyperbolic functions.

Q: I need help evaluating a derivative of a function at the point (pi/2,18pi)

A: We have given

Q: The derivative of the function () y = In is: tan x,

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Q: Find the derivative of f(x,y) = xe² +cos(xy) at the point (2,0) in the direction of V = 3i – 4 j .

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Use the chain rule to find the derivative of the function z = 2a*y³ – xy? along the curve given by x…

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