(м1,у1) (х8, ув),

Q: i. y= ) In (x+3

A:

Q: 1. Find derivative of given function defined as follows. y = (8x²-3x³) ³

A:

Q: Find the derivative of function.

A: Find the derivative of function. y=(ln|x+1|)4

Q: Find the derivative of the function. y = In(t2) – arctan 3 y' =

A: It is derivative.

Q: Find the derivative of the function y = 2x sinh−1(2x) − √(1 + 4x2)

A:

Q: calculate the derivative with respect to x. ln(x2 + y2) = x + 4

A: Given function lnx2+y2=x+4 Differentiate the above function w.r.t 'x' ddxlnx2+y2=ddxx+4…

Q: 4. Calculate the derivative of the given function directly from the definition of derivative y = v2x…

A: Given function is  y=√(2x+1)

Q: Calculate the derivative at the point (0,0) of the function given by the equation x5+y5−2x+2y=0.

A:

Q: Find the derivative of y with respect to x if y = (11x2 - 22x+ 22) ex.

A:

Q: Find the derivative. y= In x+3 %3D

A:

Q: Determine the derivative of the following functions. 1. у 3 (8ӕ — 1) sinh(8a — 1) 2. y = (5)…

A:

Q: find the derivative of y with respect to the appropriatevariable. y = csch-1 (1/2)θ

A:

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Find the first three derivatives of y = x(In x)³

A: given problem :y=xlnx3

Q: FInd the derivatives of the function f(x) from the first pribnciple  cos2x

A: Derivative from first principal is ratio of change in y to the very small chance in x.

Q: Find the derivative of the function. rlx) = [in[x*}}°

A:

Q: y = x*(1 – In x4)

A:

Q: Find the slope of the curve y2 + x² = y* – 2x at (-2,1) Find the required derivative by applying the…

A: topic - slope of curve note - As per bartleby guidelines ,we are supposed to answer only first…

Q: 2х Find the second orfer derivatives of y=Tan" 1-x3

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate. y = ln (3te-t)

A: We expand the function using the properties of logarithm

Q: Find the derivative of: y? – 4x = 0 at point (4,4)

A:

Q: Find the derivative of the function y = 2x arccos x − 2√(1 − x2 )

A: If the two functions f(x) and g(x) are differentiable (the derivative exist) then the product is…

Q: Compute the derivative using derivative rules.

A:

Q: Use Version 2 of the Chain Rule to calculate the derivatives of the following functions.

A: Given function: y=etan t Differentiate the above function w.r.t 't' dydt=ddtetan t The function…

Q: Find the derivative of the function. h(x) = x² arctan(8x) %3D

A: To find the derivative of hx=x2tan-18x

Q: Determine the derivative of y. アミeV10x+5

A:

Q: find the derivative of y with respect to x, t, orθ, as appropriate.

A: On simplification, we get

Q: What is the value of the first order derivative of the closed function given as…

A:

Q: Find the derivative and simplify exy -x² = 4Y² %3D

A:

Q: find the derivative of the funciton y=xe^(5x)

A:

Q: Find the derivative of y given that y= x In x et

A:

Q: Find the derivative of the function y = cosh−1(3x)

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln3/x

A:

Q: Find the derivative using the long method 3 u = t2

A:

Q: Find the derivative of the function. InV y = In 6 - X %3D y' = %3D

A: Explanation of the answer is as follows

Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

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

A: Please refer the attached image for complete solution.

Q: Find the derivative of y with respect to x if y = (5x2 – 10x + 10) e - 6x y' =

A: We have to find the derivative of y with respect to x.

Q: Find the derivatives of the functions defined as y = ecos x

A: Derivative of ex=ex Derivative of cos x =-sin x

Q: Find the 2nd derivative of (y^2)+cosx 3y +1

A: This question is based on Derivative of equation.

Q: find the derivative of y with respect to the appropriatevariable. y = csc-1 x/2

A: We have to find derivative of y with respect to the appropriate variable: y=cosec-1x2 Rewriting the…

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

A:

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

A: Given: y=∫x22x2lnt dt

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

A:

Q: 2) Find the first derivative of y = sec1(2e3*)

A: To find the first derivative of the given function.

Q: Find the derivative of the function y using the increment method or three- step rule. vx +1

A:

Q: find the derivative of y with respect to x, t, or θ, as appropriate. y = ln 3x + x

A:

Q: Find the derivative of y = arccos x + x 1-x²

A:

Q: Find the derivative of the following:

A: We have to find derivative of given function where function are given by

Q: Find the derivative. USING CHAIN RULE 4 y = V3x² – 5x + 2

A: