Define h(x)= x3-x2-9x+9  Find the positive x value for which the slope is equal to 1.

Q: Find the derivative.   g(x) = 4^x/x^4

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Q: Find the slope of the secant line to the function f(x)=x3 when x=1 and x=2.

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Q: Use the chain rule to find the derivative of f(x)= 5e^-9x^3-6^x^7

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

Q: Use the Chain Rule to find the derivative of the function. y = (2x² - 9)3

A:

Q: use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

A: y = (x4 − x3 − 1)2/3 derivative formula ddxxn=nxn-1

Q: Find the derivative of the function f(x)=(2x-7)/(3x-2)

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Q: Find the derivative of f (x) = x2 + 2x + 2.

A: The given function is, fx=x2+2x+2 To find the derivative of the function, we use the power rule of…

Q: Find the derivative of the function. g(x) = √(4 − 3x2 )

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Q: Find the equation of the line that is tanget to f(x)= 1/x at the point (2,1/2).

A: We need to find the equation of the line that is tangent to f(x) = 1/x at the point (2,1/2).

Q: Find the derivative if  y = 12x5+3x4+7x3+x2-9x+6

A: Given: y=12x5+3x4+7x3+x2-9x+6 we know that ddxxn=nxn-1

Q: Find the derivative of the function y=1x+2x2+3x3.

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Q: Find the derivative of the function. y = x2(2x2 − 3x)

A: The given function is,

Q: Find the derivative of the function. y = (2x – 5)*(8x² – 5)-3

A: Derivative denotes rate of change. According to product rule, ddxf(x)g(x)=ddxf(x)g(x)+ddxg(x)f(x)

Q: What is the slope of the graph of f (x) = x3 - 4x2 + 6 at x = 2? Write the equation of the line…

A: Given :        The function f(x) = x3 - 4x2 + 6    To find the slope of the graph f(x) = x3 - 4x2 +…

Q: Use the Chain Rule to find the derivative of the function. y = (2x2 − 3)3 y' =

A: The chain rule to find the derivation is,

Q: Use the Chain Rule to find the derivative of the function. y = (x3 + 5x2)−1 y' =

A: The function is given by,

Q: For the function f (x) = 2x° – 3x2 – 12x, use the First Derivative Test to find the location of any…

A: The given function is- fx=2x3-3x2-12x To find the critical points of a function- dfdx=0…

Q: For the function f(x)=2x^{2}+4x-1f(x)=2x2+4x−1, find the slope of the secant line between x=-1x=−1…

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Q: determine the slope function S(x) for f(x)= lxl

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Q: Find the derivative of the function. y = (8x^2 - 5/ 2 - x) ^3

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Q: Use the Chain Rule to find the derivative of the function. y = (3x2 - 7)3

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Q: Find the deritative of f(x)= 5/x^4 + -7/x^3 - 3/x^2 Then calculate the slope of tangegent at x=-1

A: We find the deritative of f(x)= 5/x^4 + -7/x^3 - 3/x^2   Then calculate the slope of tangegent at…

Q: ƒ(x) = (x³ – 4x) 10

A: Solve the derivative

Q: Find the derivative. y = 2x3

A: To find the derivative apply chain rule

Q: Find the equation of the secant line on the graph of the function f(x)=7x2 between the points where…

A: take x=-1 . take x=5

Q: f(x) = (x + 2)(2x² – 3) %3D

A:

Q: Find the derivative of the function. f(x) = (x3 − 3x2 + 4)/x2

A: Given,          fx=x3-3x2+4x2

Q: Find the derivative of the function. 6x - 7x2 + 4 f(x • x³ - 3 f'(x)

A:

Q: Find the derivative of the function y = 4x3- x2+6x-5

A: Find the derivative of the function      y = 4x3- x2+6x-5

Q: Use the Chain Rule to find the derivative. y = (x4 − x3 − 1)2/3

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Q: Find the value of x for which the derivative is zero. y=x3+4x2-3x-5

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Q: If f(x) =x+2, and g(x) =f(x), find the slope of the curve g(x) = f -1 (x) at the point (2, 2).

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Q: The profit in dollars from the sale of x thousand compact disc player is P(x)=x3-7x22x+8. Find the…

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Q: Find the derivative of the function y=3√2x2.

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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: Find the derivative of the function. f(x) =  x3 − 4 x2 + 2

A:

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: Find the derivative of the function y=5x3+3−2x3+3√x5.

A: To Find: Derivative of function   y=5x3+3-2x3+3x5.

Q: Find the derivative. y = 2x 4 - 6x 3 + 5

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Q: find the derivative of  y = x^2 - 4/x^2

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Q: y = (x² + 2)(x-3)

A: The objective is to find the derivative.

Q: Find the slope of the line tangent to the graph of f(x) = 3x² - x- 5 at x = 1.

A: The equation of the curve is given by fx = 3x2-x-5 The point is x = 1 Formula Used: mtan = dfdxx=1…

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

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Q: Determine the derivative. x – 2x + а) у- x+3 b) y = n(4x² – 5x)

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Q: Find the derivative of 9x2f (x) A. 9x[x f(x)+2 f'(x)] B. 9x[x f'(x) + 2 f(x)] C. 9x²f'(x) D. 18x…

A: To find the derivative of the given function.

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.