Find the derivative of (x+h)²+y²=r²

Q: Find the derivative of y = x3 – 6x², using first principle.

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Q: Find the 3rd derivative of the function y=f(x) given by the equation y2=2x.

A: First we solve the given expression for y

Q: Use three-point midpoint formula to evaluate the first derivative of y = x² + 4x - 5 at x = 0 using…

A: Given function is y=x2+4x−5. We have to evaluate the first derivative of y=x2+4x−5 at x=0 using a…

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

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Q: Find the derivative of the function. f(x) = ex In(x³) f'(x) = X

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Q: Find the derivative of * y=(2x +1)*(3x +1) 3х +

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Q: 2. Use the first principles of derivatives to find the derivative of f(x) = 1 2x-7

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Q: Find the derivative of f(y)   f1(y) = ?

A: The given is: fy=6tany-y6-8y4y This function can be written as:…

Q: Find the derivative of y=3x^x

A: Given,

Q: find the derivative of y = x3/x

A: Given y=x3x

Q: Find the derivative of y = x2-1/2cosx

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Q: ; Compute the derivative of the function: f (x) = (+ Inx)² а.

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Q: Find the derivative of the function. h(x) = ex² - > x + 5 %3D

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Q: Find the derivative of the function. y = 3x + V3 3x + V3x y' =

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Q: 7) f(x) = 3e In x %3D

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Q: Find the derivative of y = ÷+; x2

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Q: Determine the second derivative of the implicit function  x2+2xy+3y2=2

A: Product rule of differentiation: ddxf(x)g(x)=f(x)ddxg(x)+g(x)ddxf(x) Power rule of differentiation:…

Q: Find the 2nd derivative of y: 2x - 1 y = 2x + 1

A: Given,

Q: Determine the derivative of y=(x−1)4 without using the power rule.

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Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: Find the derivative of f (x) = 1x , x = 0.

A: Given: f(x)=x at x=0

Q: Find the derivative of y = x2".

A: Find the derivative

Q: Compute the derivative using derivative rules.      y = (x 3 + 3x + 9) -4/3

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Q: 5. Find the derivative of y= x' +2x -1

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Q: Compute the derivative using derivative rules  y = (x2 + 9x)- 2

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Q: Calculate the derivative of y = √(X4 + 1).

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Q: Find the derivative (x) = 2 In x – Vĩ

A: Given: fx=2lnx-x   As we know that; The sum/difference rule:  f±g'=f'±g' The Power law; ddxxn=nxn-1…

Q: Determine the second derivative of 6 y – xy²= 1 -

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Q: Find the derivative of f(x) = 6* – 3* + In x -

A: Differentiate: fx=6x-3x+lnx

Q: Find the derivative of f(z) = 3+ 2x² – 2y² + i4xy .

A: We find out the derivative of given function .we differentiate both sides with respect to z and take…

Q: Find the derivative of the function f(x)= xsinx+x^2e^2-1.

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Q: Find the derivative of f(x)=2/3x

A: Given is fx=23x. Power rule of differentiation states that: ddxxn=nxn-1 Differentiating the given…

Q: find the derivative of the function f(x)=x^3+2x at -3

A: find the derivative of the function f(x)

Q: What is the first derivative of f(x) = √√x² + 2x − 1?

A: Given the function,    fx=x2+2x-1

Q: Find the derivative of y=x²sin⁴x+xcos²x

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Q: Find the derivative of the function ° (2x + 1) f(x) = In x2 – 3 -

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Q: Find the derivative of y = ( 1+x2 )x

A: using logarithmic differentiation and product rule

Q: Find the derivative of y = xArcsinx + V1 – x².

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Q: Find the 3rd derivative of y=(x³-2x)².

A: y=x3-2x2 Differentiating with respect to x, we get dydx=2x3-2x·dx3-2xdx=2x3-2x·3x2-2 Again…

Q: Find the derivative of y=x^3lnx

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Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: Find the derivative of f(x) = e2" (3z² – 2)

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Q: Find the derivative of y = x²( - %3D x2+1

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Q: Find the derivative of y= (x+2)x+2

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Q: Find the derivative of the function. f(x) = 2x In 2x %3D

A: Given, f(x)=2xln2x To find the derivative of f(x).

Q: Find the derivative of f(x) = In2x 2 2z

A: We first use the addition property of logarithm.

Q: Find the derivative of the function g(x) 4+ 2x = (x),6

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Q: What is the first derivative of y(x) = In (3x + 6x2 + 2x + 6)?

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Q: Find the second derivative of y=x^-2 when x is 2

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