Differentiate the function. y=7√1-x³/ 3  y' =

Q: Find the derivative of the function

A:

Q: Find the nth derivative of the function y=xex at x=0.

A: To find the nth derivative of function y.

Q: Find the 4th-order derivative of the function y=xsinhx.

A:

Q: Find the derivative of the function. y = 6sin(πx)

A: Formula:

Q: Find the first derivative of the function y = 2ArcsinV(x/2) %3D

A: Consider the given function, y=2Arcsinx2 It also can be written as, y=2Arcsinx2=2sin-1x2

Q: Find the derivative of the function y = sech(4x − 1)

A: We use the chain rule to find the derivative.

Q: Find the nth-order derivative of the function y=x3sin2x.

A:

Q: Find the derivative y=cos(2x-x^2)

A: Properties used:

Q: Find y" by implicit differentiation. 3x3 + 5y3 = 7 y" II

A: Given       3x3+5y3=7   1using implicit differentiation, w.r.t x1  ddx(3x3) +ddx(5y3)=ddx(7)…

Q: Find the derivative. y = 7x² – sinhx %3D

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Q: Find the derivative of the function y = sin '(- (5x + 4)).

A: Given query is to find the derivative of the expression.

Q: Find the derivative. y = cos-1(x2)

A: The differentiation is a process of finding the rate of change of one variable with respect to…

Q: Find  y''  by implicit differentiation. 4x2 + y2 = 4

A: Given,  4x2+y2=y,we have to find y''Differentiate with respect to x,we get…

Q: Find the derivative of the function

A:

Q: Find y' by implicit differentiation. 1) x²y° = 2

A: Given equation: x2y9=2 To find: y' by implicit differentiation.

Q: Find the 30th derivative of y = cos(2x). f(30)(x) =

A: Take the derivative multi times and observe the pattern then write the required answer.

Q: Find the second derivative of the function. y = x sin2 x

A: Given information: The function is y==xsin2x To find the second derivative, first differentiable…

Q: 4 1 Y(s) = 5s2

A:

Q: 2) Find nth derivative of the following function f(x) = ex

A: Given query is to find the nth derivative of the expression.

Q: Find xp by implicit differentiation. S 4e*"y = 2x

A: According to the given information, it is required to find the implicit differentiation.

Q: Find the derivative of the function. y = tan(4x2 + 3)

A: The given function is y=tan4x2 + 3

Q: ) 1 = x* + 5y³

A:

Q: Find the derivative of the function. 4 y=デ

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Q: Find the derivative of the function. y = 2 tan 5x

A: To find the derivative of: y=2tan5x Solution: y=2tan5x Differentiating both sides w.r.t x we get:…

Q: (3x+4` x² +5, y = tan

A: We know that d(tanx)dx = sec2(x) Now we will apply chain rule , Here we have    y = tan3x+4x2 +…

Q: Find the derivative of the function y = x² cosh²3x

A:

Q: The second derivative of the function is y = arctan 2x

A:

Q: Find the derivative of the function.

A: The given function is y=x2-sin2x4

Q: Find Find the second derivative of the given function. 4 y = 5 cos(x) + - 36 x+ 6

A:

Q: Find the derivative of the function. y = [x + (x + sin2(x))7]³

A:

Q: by implicit differentiation if x² +9x+9xy-y² =16 Find x dy

A: Find dydx by implicit differentiation if x2+9x+9xy-y2=16. Solution: Power rule of differentiation…

Q: Find the derivative of the functiony=tan^2(6x)

A: we have to find derivative of f(x)we will use following rules

Q: Find the nth derivative of the function y=sinax.

A: We find the first 4 derivatives using the chain rule

Q: - Find or y' by implicit differentiation dx - 4x 36

A:

Q: Find the second derivative of the function f(x) = sin x2

A: Given f(x) = sin x2 To find d2f(x)dx2

Q: find the second derivative and simplify the final result. 3. 4ln(Arctan x) = 1-y

A: The given function is 4lntan-1x=1-y It can be written as  y=1-4lntan-1x Differentiating with respect…

Q: Find y" by implicit differentiation. 4x3 + 5y3 = 6 У" :

A:

Q: Find y" by implicit differentiation. 5 + y = 6 5x

A: Please refer to the image below

Q: Find the 10th derivative of y = cos 3x. f(10)(x) =

A: Given, y=cos3x

Q: Find y" by implicit differentiation. x² + 9y2 と y"

A:

Q: 6x = 4

A: Simple differentiation problem...

Q: 3. y = sin¬(1+x²)

A:

Q: 9 y = Arctan(+x, 1- 2x

A:

Q: Find the nth order derivative of the function y=xlnx.

A:

Q: Find y'' by implicit differentiation 4x3+3y3=6

A:

Q: Find the derivative of the function. y = x² cosh²3x

A:

Q: Find all possible functions with the given derivative. = రx = 1x 2x

A: The answer is given below

Q: Find the derivative of the function f(x) = x sin(6x + 14)+ In(5z+9) Answer:

A:

Q: 1= x* + 5y3

A: The given equation is 1=x4+5y3

Q: Find the derivative of the function f(x) = sinh 9x

A: