For which value(s) of x does f(x)=−x^3/3−2x^2+3x−8 have a tangent line of slope 7?

Q: how do you find the tangent line to the curve of f(x)= -6 square root x at x=4

A: We have given,

Q: Estimate the slope of the tangent line to f(x) = tax(x) at the point x = 9π/4

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Q: Estimate the slope of the tangent line to the graph of f(x) = x^2+6x at x = 5.

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Q: What is the slope of the line tangent to the graph of y=tan 1(-2x) at x = 2? The slope of the…

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Q: 3.

A: Indefinite Integration

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e". %3D Equation:

A: To find the equation of the tangent line to the graph of: y=f(x)=ln(-x) at x=x0=-e4 The equation of…

Q: Find both the derivative and indefinite integral of ƒ(x) = 4 cosh 2x.

A: Here given as ƒ(x) = 4 cosh 2x. Thus

Q: What is the slope of the tangent line to the graph of y=x+1/x at x=2? What is the y-intercept of…

A: According to power rule of differentiation, .

Q: What is the x-intercept of the tangent line to y=ln(x) with a slope of 8?

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Q: What is the slope of the tangent line through the point (2, f (2)) if f '(x) = x3?

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Q: Find equation of tangent line y=-6-2x - 3x² at (1,-11)

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Q: The tangent lines to the graph of f(x) =x² grow steeper as x in- creases. At what rate do the slopes…

A: Given function is, f(x)=x2

Q: Find the equation of the tangent line to the graph of f(x) = sin (- -) at the point x = 1. 6

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Q: use 4 step process to find the slope of the tangent line to the graph of the given funcion at any…

A: Given,           F(x) =x2 + 6x

Q: find the slope of tangent line to curve y^2+x^2=y^4-2x at (-2,1)

A: Given function y2+x2=y4-2x  We have to find slope of tangent line at(-2,1).

Q: Find equation of the tangent line to the graph of y=sqrt(x^3-2) At the point where x=3

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Q: 8. Find the derivative of y = x arctan 2.x --In(1+4x). -- - 4.

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Q: What is the slope of the tangent line to the graph of f(x) = x² - 3x +1 at the point (-1,5)?

A: Given: fx=x2-3x+1 To Find: The slope of the tangent line to the graph of the given function at the…

Q: Find the slope of the tangent line at given point 2x2 - 3y = x at (1.5,1)

A: First derivative of the equation curve give slope of tangent line to the curve.

Q: Find the derivative of the function f(x) = cosh(8x + 1)

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Q: Find the slope of the tangent line to the curve x3 + y3 = 4xy at the point (2, 2). Use implicit…

A: According to question given that  We have to calculate the slope of the tangent line to the curve…

Q: Find the slope of the tangent line drawn to the graph of 2x2−xy−y3=5 at the point (2,1). Enter exact…

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Q: Find the slope of the tangent line to the curve y2+x2 = y4-2x at point (-2,1)

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Q: 4 at the point ( 6, The slope of the tangent line to the curve y is: 3 |

A: The  Slope of the tangent line is = -(1/9)

Q: Find the point f(x)= x3 - 3x2 + x + 4 where the tangent line has slope 10

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Q: Find the slope of the tangent line to the curve 4x + lay- ly = 88 at the point (3, - 4).

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Q: Find the equation of tangent line to Graph of f(x)=3 x In(5x-4) at point where x=.1

A: Solution:

Q: Please find the slope of the tangent line to the graph of f(x) at x = 1

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Q: Explain the relationships among the slope of a tangent line, theinstantaneous rate of change, and…

A: The slope of a tangent line of f on x is,msec=f(x)-f(a)x-a

Q: Find the derivative of xn by first principle or ab-initio method.

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Q: What is the derivative of f(x)=2sin(x) at the point x=−π/2?

A: To find the derivative of fx=2 sinx, at the point x=-π2.

Q: Find the point(s) on the curve where the tangent line is horizontal i.e. slope is zero). 3 (x+x²' f…

A: Solution below  Slope is zero at a point where dy/dx=0

Q: 4 at the point ( 3, The slope of the tangent line to the curve y is:

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Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-1?

A: We have to find

Q: What is the Derivative of: y = extan x

A: Given: y=ex tan x To Find: dydx=?

Q: Find the slope of tangent line for the equation x^2+y^2=5 on (1,2)

A: The given equation of the line is,

Q: What is the slope of the tangent line to the graph of y-(x-1)/(x+1) at x-3?

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Q: What is the relationship between the secant line, slope of the tangent line, derivative of a…

A: Solved below

Q: Find the derivative of the function without using the Quotient Rule. y = -

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Q: What is the slope of the tangent line at (0,3) to the function f(x) = -sinx+3

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Q: the derivative of f(x) = xi at the point x = 4?

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Q: Find the values of x in the interval [0,2π] where the tangent line to the graph of y= sinxcosx is…

A: Given:y=sinxcosx,     [0,2π]

Q: Determine the point on the curve where the slope of tangent line to the curve is 0 or -3 a) f(x)=…

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Q: What is the slope of the tangent line to the curve y = at the point (3,)?

A: What is the slope of the tangent line to the curve y=1x at a point 3, 13 ?

Q: Find the equation of the tangent line to the graph of f(x) = In(-x) at x = x0 = -e'. =-e?. Equation:

A: As we know that the equation of the tangent line is: y-y1=mx-x1 Where 'm' is the slope. Given:…

Q: What is the equation of the tangent line of y=4(x^3)-7(x^2) at the point x=3

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