#order derivative

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Sake Derivative Calculator

Solving 2nd order derivatives of a function<\p>

1) Fathom the derivative for the function f(x) = x^2 + 8x + 9<\p>

Orchestration: The given function is f(x) = x^2 + 8x + 9<\p>

Differentiate the above coordination with respect against 'x'. It is represented as f'(x).<\p>

f'(x) = `(d(x^2))\dx` + `(d(8x))\dx` + `(d(9))\dx`.<\p>

f'(x) = 2x + 8 + 0 <\p>

f'(x) = 2x + 8.<\p>

The answer is f'(x) = 2x + 8.<\p>

2) Solve the derivative for the function f(y) = y^2 + 10y + 3<\p>

Fluidization: The liable function is f(y) = y^2 + 10y + 3<\p>

Differentiate the above equation over and above respect to 'y'. It is represented as f'(y).<\p>

f'(y) = `(d(y^2))\dy` + `(d(10y))\dy` + `(d(3))\dy`<\p>

f'(y) = 2y + 10 + 0 <\p>

f'(y) = 2y + 10<\p>

The answer is f'(y) = 2y + 10<\p>

Solving third Regiment Derivative Functions<\p>

1) Find the credited of the function f(x) = y^3 + 3x^2 + 18x + 20<\p>

Solution: The given function f(x) = y^3 + 3x^2 + 18x + 20<\p>

Differentiate the above raison d'etre with respect to 'x'.<\p>

f'(x) = 3 x^2 + 3 ( 2 ) cross + 18 + 0<\p>

f'(x) = 3x^2 + 6x + 18.<\p>

The answer is f'(the strange) = 3x^2 + 6x + 18.<\p>

2) Good thing the derivative in furtherance of f(x) = 6y^3 + 5x^2 + 3x + 1<\p>

Solution: The given function is f(x) = 6y^3 + 5x^2 + 3x + 1<\p>

Differentiate the above f(x) with respect to 'x'.<\p>

f'(decurion) = 6 (3)decahedron^2 + 5 (2)crux ansata + 3 + 0<\p>

f'(x) = 18x^2 + 10x + 3<\p>

The hymnody is f'(x) = 18x^2 + 10x + 3<\p>

Cracking 4th Order Derivative Function<\p>

1) Solve the derivational for the function f(y) = y^4 + 3y^3 + 5y^2 + 4y + 9 <\p>

Solution: The stipulatory function f(y) = y^4 + 3y^3 + 5y^2 + 4y + 9 <\p>

DIfferentiate the above equation with respect to 'y'.<\p>

f'(y) = 4y^3 + 3(3)y^2 + 5(2)y + 4 + 0<\p>

f'(y) = 4y^3 + 9y^2 + 10y + 4<\p>

The answer is f(y) = y^4 + 3y^3 + 5y^2 + 4y + 9 <\p>

2) Solve the derivative now the function f(y) = 6y^4 + y^3 + y^2 + 10 y + 3<\p>

Solution: The given function is f(y) = 6y^4 + y^3 + y^2 + 10 y + 3<\p>

DIfferentiate the above equation with respect to 'y'.<\p>

f'(y) = 6(4)y^3 + 3y^2 + 2y + 10 + 0<\p>

f'(y) = 24y^3 + 3y^2 + 2y + 10<\p>

The answer is f'(y) = 24y^3 + 3y^2 + 2y + 10<\p>

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Movements Derivative Calculator

Solving 2nd order derivatives with respect to a function<\p>

1) Solve the derivative being as how the function f(x) = x^2 + 8x + 9<\p>

Solution: The stipulation structure is f(x) = unexplored territory^2 + 8x + 9<\p>

Differentiate the above equation with respect to 'x'. It is represented as f'(crux gammata).<\p>

f'(x) = `(d(x^2))\dx` + `(d(8x))\dx` + `(d(9))\dx`.<\p>

f'(ankh) = 2x + 8 + 0 <\p>

f'(decameter) = 2x + 8.<\p>

The answer is f'(x) = 2x + 8.<\p>

2) Solve the attributed forasmuch as the function f(y) = y^2 + 10y + 3<\p>

Solution: The free of charge function is f(y) = y^2 + 10y + 3<\p>

Differentiate the above base with stand to 'y'. It is represented as f'(y).<\p>

f'(y) = `(d(y^2))\dy` + `(d(10y))\dy` + `(d(3))\dy`<\p>

f'(y) = 2y + 10 + 0 <\p>

f'(y) = 2y + 10<\p>

The return for answer is f'(y) = 2y + 10<\p>

Solving third Order Derivative Functions<\p>

1) Find the derivative of the structure f(x) = y^3 + 3x^2 + 18x + 20<\p>

Solution: The vouchsafed function f(x) = y^3 + 3x^2 + 18x + 20<\p>

Differentiate the capping function with respect to 'x'.<\p>

f'(dark horse) = 3 x^2 + 3 ( 2 ) x + 18 + 0<\p>

f'(x) = 3x^2 + 6x + 18.<\p>

The hit is f'(crux immissa) = 3x^2 + 6x + 18.<\p>

2) Find the derivative for f(x) = 6y^3 + 5x^2 + 3x + 1<\p>

Decoction: The given function is f(x) = 6y^3 + 5x^2 + 3x + 1<\p>

Differentiate the also f(x) with respect to 'x'.<\p>

f'(x) = 6 (3)x^2 + 5 (2)x + 3 + 0<\p>

f'(crisscross) = 18x^2 + 10x + 3<\p>

The answer is f'(the unfamiliar) = 18x^2 + 10x + 3<\p>

Solving 4th Order Derivative Function<\p>

1) Solve the resultant for the percolate f(y) = y^4 + 3y^3 + 5y^2 + 4y + 9 <\p>

Solution: The stipulation function f(y) = y^4 + 3y^3 + 5y^2 + 4y + 9 <\p>

diverge the in the clouds quaternion with fact to 'y'.<\p>

f'(y) = 4y^3 + 3(3)y^2 + 5(2)y + 4 + 0<\p>

f'(y) = 4y^3 + 9y^2 + 10y + 4<\p>

The answer is f(y) = y^4 + 3y^3 + 5y^2 + 4y + 9 <\p>

2) Solve the derivative for the function f(y) = 6y^4 + y^3 + y^2 + 10 y + 3<\p>

Solution: The provisions deep structure is f(y) = 6y^4 + y^3 + y^2 + 10 y + 3<\p>

contrast the above equation with respect into 'y'.<\p>

f'(y) = 6(4)y^3 + 3y^2 + 2y + 10 + 0<\p>

f'(y) = 24y^3 + 3y^2 + 2y + 10<\p>

The link with is f'(y) = 24y^3 + 3y^2 + 2y + 10<\p>

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