dz 25. 1 dx x=1 '+1

Q: Find the second derivative (dy/dx) of sin(x) + sin(y) = 1

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Q: Calculate the derivative of the following function. y = 11+ tan²x dy %3D dx

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Q: Find the derivative of the function y = ln(tanh x/2)

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Q: Find the derivative of the function. y = In|sin x| dy dx I|

A:

Q: Find the derivative of the function. Y=3xe-3x-ex^4   dy/dx=

A: given:

Q: Can you help me with this problem step by step?

A: Given:

Q: Can you help me with this problem step by step?

A: Consider the given equation:

Q: Find the derivative of the function below. y = 5x sin- x + V 16 - x² dy dx II

A: here is the important formulae which is  used to the given problem: 1) d(xn)dx=nxn-12) d…

Q: Find the derivative: eY sin(x) = sec(xy) – 5 dy dx

A: Some formulae that you will use: Product rule of differentiation:           other formulae:

Q: Find the derivative of the function. *sin(x) y = Jcos(x) In(1 + 5v) dv

A: We have used the lagranges theorem to find the derivative of an integral

Q: Find the derivative of y with respect to s. y%3Dsec -1 (2s4 + 7) dy ds

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Q: Find the indicated derivative. Find OY for y2 = 8x – 7. dx dy dx II

A: topic - derivatives

Q: Find the derivative of y with respect to x for y = 7*. dy dx II

A:

Q: calculate the derivative. y = tanh(t2 + 1)

A: Given: calculate the derivative.  y = tanh(t2 + 1)

Q: Find the derivative of the function y = 7 tan(4x). dy %3D dx II

A: Given: y=7tan-14x   As we know that; The chain rule; fgx'=f'gx·g'x The Power law: ddxxn=nxn-1 And…

Q: Find the derivative of y with respect to x for y = sinh 1(11/15x). dy 165 dx 2/1815x? + 15x

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

Q: Find the indicated derivative. If y = x9 - x/2, find fy. dx2 dey = dx?

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Q: find the indicated derivative. dy/dx if y = 1

A: y=1

Q: Find the derivative of y with respect to x. y = (6x + 5)* dy dx II

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Q: Find the derivative of y with respect to x if y = e¯1X. dy dx II

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Q: Find the derivative of the function y = 4x + In(x + 4). dy dx

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Q: Find the derivative of the function y%39 tan(3x). dy %3D dx

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Q: Find the derivative of y with respect to x. y= sec -1(3x? + 1), x>0 dy dx

A: Given that: y=sec-1(3x2+1), x>0

Q: Find the derivative of the function. 1 6 y = 4x +8x dy %3D dx

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Q: Find the second and third derivative of function. y'=3x^2y^2 = dy/dx

A: Given :dydx=3x2y2

Q: Find the derivative. cos ft dt y = x10

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Q: Find the derivative of y = 33-22 dy de 画

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Q: Find the derivative of the function. y = tanh-(6x) V6 1+ 6x y' =

A: derivative of the function..

Q: Find the indicated derivative using implicit differentiation. x²y – y2 = 5; dy dx dy dx

A: The given function is: x2y-y2=5

Q: Find the derivative. y = x ln(x) dy dr II

A:

Q: Find the derivative of y with respect to x. y = sec 1(3x? + 1), x>0 dy dx II

A:

Q: Find the derivative of y = x4 sinh(z). dy/dx =

A:

Q: Find the derivative of y=√x(x+9)   dy/dx=

A:

Q: Find the derivative of the given function. y= 6x (7-6x)6 dy dx

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Q: Find the derivative of y with respect to s. y = sec 1 (5s° + 2) dy ds

A:

Q: Calculate the derivative of the following function. y = (3x+ 4) dx

A: y = (3x+4)3  we use chain rule to solve the problem

Q: Find the derivative of y=cos^3w+cos(w^3) dy/dw=

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Q: Find the derivative of the given function. y= 5x (1-3x)5 dy dx

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Q: x-1 dy 6. y = ( ). \x+1 dx

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Q: Find the derivative dy if y(x) x 3 dx dy dx

A: Given function is

Q: Can you help me with this problem step by step?

A: The given expression is,

Q: Calculate the derivative indicated. dy where 9. r3 + 9x? dx? lx=5

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Q: Calculate the derivative of the following function. y = (7x-8) dy dx

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Q: Find dy/dx by implicit differentiation and evaluate the derivative at the given point. x6 - y? = 0,…

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Q: Find the derivative of y with respect to x. y = (9x + 7)* dy dx

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Q: Find the derivative of the following function. y = 5x sin -1x dy dx

A: We can find dy/dx using product formula as below

Q: Find the derivative of the following function. y=5.3-2 dy dx

A: We can find the derivative of the given function as below

Q: Find the derivative of the function y = 9 tan(2x). dy dx 11

A: