In Exercises 33–46, find the derivative. y = cos-lt-1 – sec-lt |

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

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Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: We will use the power rule first and then use the chain rule   y=(x2+9x)-2 y'=-2(x2+9x)-3ddx(x2+9x)…

Q: Use directional derivative definition to find derivative of V3 - f(x,y) = x² + y² at the direction…

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Q: Use Part 1 of the Fundamental Theorem of Calculus tofind the derivative of the function.

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

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Q: Find the derivative of y with respect to the appropriate variable 53. у %3D sec (2s + 1) 55. y =…

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Q: 2b. Explain the difference between a partial derivative and a directional derivative.

A: Dear learner, as per our guidelines we can provide the solution for one part only. Kindly post other…

Q: 53.) Find directional derivative of f(x,y) = Jxy at (1, 4) toward the point (4, 9) %3D

A: f(x,y) = √(xy)

Q: Calculate the derivative.

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Q: In Exercises 29–32, compute the derivative at the point indicated without using a calculator.

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Q: 10. Use differentiation to find the gradient of the curve y = ax sin(bx) at x = 3.

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Q: Use directional derivative definition to find derivative of f(x, y) = x² + y² at the direction of ū…

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

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Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: Given: y=cos9θ+41 we know that ddxcoskx+c=-ksinkx+c where, c is constant

Q: In Exercises 33–46, find the derivative.

A: The given function is y=1-t2+sin-1t

Q: Qeustion 1 Use implicit differentiation to find the equation of the tangent line to the cardioid…

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Q: Can i get help step by step please

A: The given expression is

Q: In Exercises 29–32, compute the derivative at the point indicated without using a calculator.

A: Consider the given function, y=tan-1x it can be written as, tany=x use implicit differentiation…

Q: Use directional derivative definition to find derivative of f(x, y) = x2 + y? at the direction of u…

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Q: In Exercises 45–74, compute the derivative using derivative rules that have been introduced so far.

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Q: Calculate the directional derivative in the direction of v at the given point. fx, v)- tan Cy). -(1,…

A: The partial derivatives of f(x,y) at the point (x,y)=(5,2)are:

Q: Find the derivatives of the functions in Exercise

A: Find the derivatives of the functions in Exercise y=x3ex

Q: Find the derivatives of the functions in Exercises y = 2 tan^2 x - sec^2 x

A: y=2 tan2x-sec2x

Q: PQ. Use Theorem 13.9 to find the directional derivative of the function at P in the direction f(x,…

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Q: Calculate the derivative d dz (2t5 34 dt using Part 2 of the Fundamental Theorem of Calculus.

A: The solution are next step

Q: Using the definition, find the derivative of fz) = 3 z^-6 z² at point z= 0

A: Given,          fz=3z4-6z2

Q: 4) Find direction derivative f(x, y) = x2 -3xy at the point (-1,2) in the direction 0 %3D 6

A: The directional derivative of a function f(x, y) is given by Du.fx,y=fxx,ya+fyx,yb where u.=a,b is a…

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

A: We have to find the derivative of the function: fx=2x4-4x-1sec x We will use following formula of…

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

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Q: Can i get help with this problem step by step please?

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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: Calculate the derivative d dx t14 + 5dt using Part 2 of the Fundamental Theorem of Calculus.

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Q: (c) Let f(x.y) = (x²+G))), Determine the directional derivative of f at the point (1,0) in the…

A: f(x,y) = (x2 + (y/2))3 we have to determine the directional derivative of f at the point (1,0) in…

Q: Find the first and second derivatives of the function. y = cos(x2) y' = y" %3D

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Q: Find the derivative f(x) , f(x) = / sec (t) dt sec x -sec x tan x

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

A: We have to find derivatives of the function: Ht=sin t sec2 t We know the formula of…

Q: In Exercises 13–24, compute the derivative using derivative rules that have been introduced so far.

A: Consider the given function as y=cos4θ

Q: Calculate the derivative 33 4:6 dx using Part 2 of the Fundamental Theorem of Calculus. 33 dt = da

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Q: In Exercises 33–46, find the derivative.

A: To find the derivative

Q: In Exercises 7–12, use the Quotient Rule to calculate the derivative.

A: gt=t2+1t2-1 We need to find the derivative of the function at t=-2

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

A: Given :  y = secθθ To find:  dydθ differentiate both sides with respect to θ in the given expression…