Direction: Determine the Laplace Transform of the functions shown using Derivatives of Transforms or Laplace Transforms of derivatives and simplify. 5. t³e1.5t cost

Q: Find the derivative of the function. y' = y = √√√1-x² - x cos-¹(x)

A: we need to find out the derivative of the given function."Note that as per the rules, we are…

Q: The derivative of f(x,y) at P. (1, 2) in the direction of its is 2√2 and in the direction of the #…

A: The given problem is to find the directional derivative of the function f at point (1,2) in the…

Q: Use Part 1 of the Fundamental Theorem of Calculus to find the derivative of the function. g(s) =…

A: Recollecting Fundamental theorem of calculus part 1 and interpreting with our given

Q: 1be Sine Function The sine function sin x has the property that the square of itself plus the square…

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Q: Let fand g be the functions in the table below. f(x) g(x) f '(x) g'(x) 1 2. 4 2 3 7 3 1. 7 9 (a) If…

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Q: Determine the derivative of the following functions. 1. y = tanh (8x – 3) 2. y = 2x sinh(6x – 5)

A: Here we will use standard formulas for derivative of inverse hyperbolic functions, product rule of…

Q: Derivatives of constant multiples of functions Evaluate the followingderivatives.

A: Given: a ddx-7x118(b) ddt38t

Q: Derivative practice Find the indicated derivative for the following functions. dw/dt, where w = xyz,…

A: Calculations :                      w = xyz  ........... (i)               x = 2t4  , y= 3t-1 , z=…

Q: Question Find the derivative of 4 4x – 2 y = -3x-1 | You should leave your answer in factored form.…

A: Given that, the function is y=4x-2-3x-14. Differentiate the function with respect to x as shown…

Q: ■ Find the derivative of the function. Simplify wherepossible.  y =  ( tan -1 x ) 2

A: y=tan-1x2

Q: The slope of the tangent line to the graph of the function y = 9/x – 7 at (49, 56) is . O -1.14 O…

A: Given,  The function  y = 9x - 7   We have to find the slope of the tangent line at 49, 56.

Q: Evaluate the derivative. y=x* y' = (Type an exact answer.)

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Q: iii) sin(xy)=x³ + x²y. Ex 2. Find the derivative dy for the following then evaluate the derivative…

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Q: The slope of the tangent line to the graph of the function y = 5VT-5 at (25, 20) is O 5 O 0.50 O…

A: Application of differentiation

Q: 11. Derive h(w) w5/3 w5/3+1'

A: topic -derivative

Q: 10 8 dx

A: