Find an equation of the tangent line to the curve y = 9^x at the point (2,81)

Q: Determine the slope of the tangent to √1-x at the point (-8, 3).

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Q: The slope of the tangent line to the curve y=4/x at the point (9,49) is:

A: To Determine: Slope of the tangent line to the curve at the point (9 , 49). Given curve is:…

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: find the derivative of tihe unction?

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Q: Find the points on the curve y = 2x3 3x2 - 12x 4 where the tangent line is horizontal. (х, у)…

A: Find the points on the curve where the tangent line is horizontal as follows.The given curve is y =…

Q: the tangent line  to the graph of y=lnx\x is perpendicular to the line x=7 at the point where?

A: The line x = 7 is perpendicular to x axis. Hence, it's slope is infinity. The tangent line that is…

Q: Find the tangent line approximation for √1 + x near x = 5. y = |

A: Given 1+x

Q: Find the slope of the tangent line to the curve y = x3 + 3x - 8 at (2, 6).

A: We have to Find the slope of the tangent line to the curve   y = x3 + 3x - 8 at (2, 6).   We have…

Q: Please Find an equation of the tangent line to the curve y=5^x at the point (2,25) . Tangent line:…

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Q: 3.

A: Indefinite Integration

Q: Determine the point on the curve where the slope of tangent line to the curve is -3 or 0

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Q: .What is the slope of the tangent line to the curve y = -4x3 + 3x – 5 at the point (1, –6)?-

A: Our Aim is to tell the slope of the tangent line to the curve y=-4x3+3x-5 -(i) at the point (1,-6).

Q: y = 2 ||

A: We have to find the derivative of the function y = 1-x2ex2

Q: Find the equation of the tangent line at x= 10

A: To find: The derivative of function fx=x-1 by limit definition of derivative and also find the…

Q: Find the tangent line approximation for √1+ x near x = 5. y = ||

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Q: Find the equation of the tangent line at the given point on each curve .2xexy = ex3+ yex2 ; (1, 1)

A: If a curve is defined as the function fx,y=0 then dydxa,b=f'a,b defines the slope of the tangent of…

Q: Find the Equation of tangent line of the function

A: Since the curve is not given on the question so i have taken a general curve and a general point

Q: Estimate the slope of the tangent line at the point x = 3, for f(x) = In(x). (Use decimal notation.…

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Q: Find an equation of the tangent line to the graph of the function at the given point.

A: the given function is y=2-x. so to find the tangent at a specified point given (-1 , 2 ). it is…

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: find the sLope Of a tangent line hCx) = x +44 iz

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

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Q: Describe the tangent line at an arbitrary point on the graph of y = 2x + 8

A: we have to describe the tangent line at an arbitrary point on the graph of y=2x+8

Q: Locate the point where the slope of tangent line to y=In 2x2 IS-1- O (-1, In 2) O (-2, In 8) 3 In 4…

A: Given; y= ln 2x2.

Q: Explain in 200 words the relationship between the secant line, slope of the tangent line, derivative…

A: Given: secant line, slope of the tangent line, derivative of a function using the limit process,…

Q: Find the slope of the tangent line to the curve - 4x2 - 4xy + 3y³ = 204 at the point (- 3, 4). |

A: Basic application of derivative problem

Q: In(tanhx)

A: As we know that; The chain rule: fgx'=f'gx·g'x And ddxtanhx=sech2x Given: fx=lntanhx

Q: where x = 6.

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Q: Find the slope of the tangent line to the graph at the given point. (x2 + 4)y = 8, (-2, 1)

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Q: Find an equation for the tangent line to the curve n = 4- 2 at (-1,3).

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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: What is the slope of the tangent line to the curve y= -sin 3x at x=

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Q: What is the value of the second derivative y" at the point (4,3)

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Q: 2. Write the equation of the tangent line to the curve y = x3 – 6x at the point (2, –4).

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Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: Find an equation of the line tangent to the curve at the point (4, 0.4). 2Vx ソミ x+6 Equation:

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Q: find the equation of a tangent line for y=arcsin(x/8) at the point (4,π/6)

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Q: Find the most general anti-derivative

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Q: Find the slope of the tangent lines on the curve y = 6x^3 +24x^2 -39x -43 at poins (-5, 2) and (1/3,…

A: We know that, The slope of the tangent line to the curve at a given point Px1,y1 is equal to the…

Q: Find the slope of the tangent line to the curve - 2x² - 2xy - 1y³: 1y³ = - 11 at the point (-2,-1).

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Q: What is the derivative of square root 2t?

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Q: calculate the derivative y = cosh−1(3x)

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Q: find an equation of the tangent line that passes through y=x^3+x+4 at (-(2,-6)

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Q: Determine the slope of the tangent line to the curve y=2 – x2 at the point (3,-7)

A: slope of tangent = slope of given curve  step 1  we have to find slope of curve  slope = dy/dx  so…

Q: Find the derivative of using first principle?

A: we have to find first derivative of y by using first princple

Q: Find the derivative of the function at Po in the direction of A. txу) - - ху + у, Р,(10, - 2),…

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