5. Sketch the graph of y = x3 + 5x2 + 3x - 4 by using the properties of the derivative.

Q: Find the derivative of the function. 7x-4 y = 6x + 1

A: Giveny=7x-46x+1We know thaty'=ddxf(x)g(x)=f'(x)g(x)-g'(x)f(x)g(x)2

Q: Find the derivative of y = (2x³-6)*(3x-2)2

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Q: Write the equation of the line tangent to the graph of (x) at x=-1. f(x)=2x2+7x

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Q: Show that the x-coordinate of the vertex of the parabola whose equation is y = ax2 + bx + c occurs…

A: Given the equation of a parabola y=ax2+bx+c

Q: What is the slope of the tangent line to the graph of y=x4-3x2+x+2 at x=2? b)What is the…

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Q: FInd the derivative of y=(5x-3)5(2-x4)5

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

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Q: compute the derivative. y = 4x−3/2

A: Solution: We have given that the function : y = 4x-3/2 If y = xn be any function then derivative of…

Q: Find the derivative of y = 3x² + 5x- 2 from first principles.

A:

Q: Find the derivatives of the functions in Exercis y = (4x + 3)4(x + 1)-3

A: y=(4x+3)4(x+1)-3

Q: The slope of the tangent line to the graph of the function y = 9Va -2 at (4, 16) is -5.00 O -4.00 O…

A: Simply calculate the derivative of function at given point.

Q: Find the derivative of y = 4x(3x + 5)5

A: Given : y = 4x3x+55

Q: Find the derivative of y= 4tan5α

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Q: What is the equation of the line tangent to the graph of y = x(1-2x)^3 at the point (-1,1)?

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Q: Find the derivative of function defined as follows. y = 5x4 + 9x3 + 12x2 - 7x

A: Given function is y=5x4+9x3+12x2-7x. To find the derivative of the given function. Solution: Power…

Q: Use the first principles of derivatives to find the derivative of y=5x-1

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Q: Find the equation of the tangent line to the graph of f(x)=4x^3 + x^2+9 when x=-2

A: The objective is find the equation of the tangent line to the graph

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 derivatives of the functions in Exercis y = (2x - 5)-1(x2 - 5x)6

A: Given function - y = 2x-5-1x2-5x6y = x2-5x62x-5               ........(1)  Identity to be used -…

Q: Where does the derivative of g(x)=(x^2)/((x^2)+3) = 0 or is undefined?

A: Given function, gx=x2x2+3

Q: Find the derivative of 4x +2 -(2) Y = -2x-4

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Q: Find the derivative of y=(6x^(1/3) - 2x^(1/7))^5, when x=5.

A: Solution

Q: 6. Sketch the graph of y= x2+ by using the properties of the derivative.

A: The given function y=x2+2x

Q: Find the slope of the line that is tangent to the 2x-3 graph of f (x) at P(3/2, 0)

A: Slope of the tangent to tthe curve y=f(x)  at point (a,b)  is given as m=f'(a)

Q: Find the derivative of the function. 4х - 9 y = 6x + 1

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Q: Determine the value of X on which the derivative of the function Y = | 3x² + 4x + 1] does not exist.

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Q: Find the derivative of y = (7– 6x4)*

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

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

Q: Write the equation of the tangent line to the graph ofy = (7x2 − 6x + 2)(1 + 2x)atx = 1.

A: we have to find tangent line to f(x) at x=1first we will compute tangent point at x=1

Q: What rule should be used in getting the derivative of y=(1−x^2 )^6

A: What rule should be used in getting the derivative of y=(1−x^2 )^6

Q: what is the derivative of: y = 5x2

A: Given: y=5x2 To Find: dydx=?

Q: Find the derivative of the function. 3. 2x2 - 5 =イ 4- x %3| y' = ||

A:

Q: FInd the derivative of  y=(3x-2)2(5-x5)4

A: Assume u=(3x-2)2 and v=(5-x5)4 Differentiate the function u with respect to x. Assume p=3x-2…

Q: 1) Use the definition of the derivative to calculate the derivative off(x) = 3x2-5x+ 1

A: Find the derivative of f (x) = 3x2 –5x +1.

Q: Find the derivative of the function of y = (9x* + 6x-²) when x = 2

A: Given:     y=9x4+6x-2  differentiating on both sides    dydx=ddx9x4+6x-2    y'=ddx9x4+ddx6x-2 Apply…

Q: Determine the value of X on which the derivative of the function y 3x2 + 4x + 1| does not exist.

A: Giveny=|3x2+4x+1|y=|3x2+3x+x+1|y=|3x(x+1)+x+1|y=|(3x+1)(x+1)|Using modulus propertyy=|3x+1||x+1|

Q: Find the slope of the line tangent to the curve f(x)=3x-2 when x-2.

A: NOTE: Refresh your page if you can't see any equations. .

Q: Sketch the graph of y= x²+ - by using the properties of the derivative. 2

A: To sketch the graph

Q: Use the Definition of Derivative to find the derivative of y = 6x^2 + 3x.

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Q: 3 y = х-5

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

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Q: Find the derivative of the fractional function y=2x+1x3.

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Q: Find the derivative of the function y = sech 5x2

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Q: - Find the derivative of the function : ƒ(x)= V2x + 3

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Q: Find an equation of the tangent line to the graph of f(x)=3x3+2x when x=1.

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Q: Find, the derivative of y= 5x e" + 6x3 y':

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Q: Find the derivative of the function y = 5x* - 15x - X.

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Q: What rule should be used in getting the derivative of a.)y = x^8 + 2x^6 - x^3 - 4x  b.)…

A: a) y=x8+2x6-x3-4xb) y=2x5+x-3x3c) f(x)=1-2x2

Q: Sketch the graph of y= x2+2/x by using the properties of the derivative.

A: Given: y=x2+2x=x2+2x⇒y'=1-2x2⇒x2-2=0 ;  ⇒x=±2 are…