Find the derivative of the function s = tan-' (t – V1 +1²). Upload Choose a File

Q: Find the derivative of f(y) = 2 sin y + sin² y and then use it to find all coordinates on the graph…

A:

Q: Find the derivative of f (y) = 6 sin

A: To find: The derivative of fy=6·sin7y5. Formula used: Chain rule of derivative: fgx'=f'gx·g'x Power…

Q: Find the derivative of the function f(x) = 2sin x %3D

A: Given       f(x)=2sin x

Q: Find the derivative of the function. 1 + x 1 - x y = arctan y' =

A:

Q: Find the derivative using the long method y = vx + 2

A:

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

A:

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 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Find the derivative of the function f(x.y) = tan -1y at the point (- 9,9) in the direction in which…

A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: Find the derivative of the function. y = sec 2  x  +tan 2 x

A:

Q: find the derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

A: Given that, y=(x3+cosx)-4

Q: Get the derivative first. Then find the equation off tangent line and normal line to the curve at…

A: Given , curve y=x/a+a/x point=(a/5,5/2)

Q: Use Leibniz’s Rule to find the derivatives of the functions

A:

Q: Define the second derivative of f. If f(t) is the position  function of a particle, how can you…

A: Second derivative is derivative of the derivative.      Therefore,…

Q: Compute the derivative using derivative rules that have been introduced so far y = √(9 +x + sinx)

A: We have to compute derivative of the function: y=9+x+sin x We know the formula of derivatives,…

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 5s

A:

Q: Find the derivative of the function. 2x F(x) = arctan(t) dt 1 2 arctan(2x) F'(x) = (arctan(Vx)) -

A: Here we have,

Q: How do I find the derivative of this? Isn't it the Quotient rule?

A: Given,

Q: Find the derivative using the long method y = sec x

A:

Q: Find the derivative of the function. y = ek tan(V 5x) y'(x)

A:

Q: Find the derivative using the appropriate rule or combination of rules. y = x cos(1 − 3x)

A:

Q: Determine the derivative of y=(x−1)4 without using the power rule.

A:

Q: Find the derivative of the function. y = sin-(2x + 1) y' = %3D

A: We need to evaluate the derivative of the following function y = sin-12x+1 Formula Used : ddxsin-1x…

Q: Compute the derivative using derivative rules. y = sec( √t 2 - 9)

A:

Q: fcx)= Y文 メ ー^

A: Local extrema

Q: Compute the derivative using derivative rules.

A:

Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: sinx (b) у %3D V1+cosx

A:

Q: Find the derivative using the appropriate rule or combination of rules. y = (x3 + cos x)−4

A:

Q: Find the derivative of the function by using the chain rule. sinx (a) h(x) = tan(x³ sinx) (b) y= %3D…

A: To find the derivative of the given function using the chain rule, which is:…

Q: Compute the derivative using derivative rules. y = cos(te- 2t)

A:

Q: Find the slope of the curve y = tan-!x at a1, b without calcu- 4 lating the derivative of tan-x.

A: Given y=tan-1x

Q: Find the equation of the tangent line to the curve at the given point using implicit…

A: Given equation of curve is (x2+y2-y)2=x2+y2 Differentiate both sides with respect to x.…

Q: Calculate the derivative using implicit differentiation: x³w + w® + wz² + 4yz = 0 dz az

A:

Q: Find the derivative of the cotangent function y=cotx

A:

Q: Find the derivative of the function. y = arctan 1 + x 1 - X y' =

A:

Q: (a) h(x) = tan(r'sinx

A:

Q: find the derivative of y with respect to the appropriatevariable. y = sec-1 (2s + 1)

A: The given function is y=sec-12s+1.

Q: Calculate the derivative at the point (0,0) of the function given by the equation x=y−2siny.

A: We differentiate both sides with respect to x

Q: Determine the derivative of y. y = eV14x+6 %3D

A: Please refer the attached image for complete solution.

Q: Find the derivative of the function f(x y) = tan-1Y at the point (5, -5) in the direction in which…

A:

Q: sinx (a) h(x) = tan(x² sin.x) (b) y= V1+cos.x

A:

Q: Calculate the derivative of the function y=arccos x arctan x at x=0.

A: Differentiating with respect to x, we get

Q: calculate the derivative y = cosh−1(3x)

A:

Q: Find the derivative of the function y = sech−1 (sin x)

A: Given function - y = sech-1sinxDifferetiating on both sides with respect to x - dydx =…

Q: Find the derivative using the definition 1- y = vx -1

A:

Q: 2.) y = tan¬1 – 6•x³ y' =

A: We have to find the derivative of the function: y=tan-1-6·x3 We know the formula of derivatives,…

Q: Find the derivative car (x+y) = yrinx

A:

Q: y = cos /sin(tan Tx) %3D

A:

Q: Find the derivative of the function. y = sin(tan 8x) %3D

A: