What is y-intercept of f(x)=2^z

Q: What is the slope of the tangent line to the graph of x-xy-4y2 +2x +4y 8 at (4, -2)?

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Q: y = 4x° + 4x at (1, 2)

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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: Find the derivative of ƒ (x) = /7– 8x. %3D To enter va, type sqrt(a). f' (2) =

A: We have to find the derivative of the given function.

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: Find the points on the curve y = x4- 6x2 + 4 where the tangent line is horizontal.

A: y=x4-6x2+4 Differentiating with respect to x, we get dydx=4x3-62x+0=4x3-12x Now the tangent line is…

Q: Find an equation of the tangent line to the curve y = x - 3x + 5x that has the least slope.

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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: What is the slope of the tangent line to the graph of X- xy-4y+2x +4y 8 at (4, -2)?

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Q: Find the slope of the line tangent to the graph of f(x) = xe* at x = 0. %3D

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Q: Find an equation of the tangent line to the curve y= x3 – 3x2 + 5x that has the least slope.

A: Given    slope is 1st derivative

Q: What is the y-coordinate of the y-intercept of the secant line of the square root function at x=1…

A: Here we have to find the y-intercept of the secant line

Q: What is the slope of the tangent line to the graph of the solution of y' = 5√y + 3x³ that passes…

A: As we know that; The slope of the tangent line to the given curve is equal to the derivative of the…

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=7x2+5x+5…

A: Here, f(x) = 7x2 + 5x + 5 The limit definition of the derivative is Thus, we need to find f(x+h),…

Q: Determine the slope of the line tangent to y = x+1 at x = 1 3x2

A: y = (x+1)/3x2 slope = dy/dx dy/dx = (3x2(1) - 6x(x+1))/9x4 slope at x=1 dy/dx = (3 - 6(2))/9 dy/dx =…

Q: Find the derivative of y=7tan^-1(x-(sqrt(1+x^2)

A: Chain rule:

Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x)=6x2+2x+3…

A: The limit definition of derivative is given by: We know that f(x) = 6x^2 + 2x + 3  Now we will find…

Q: Use the second derivative to find the location of all local extrema for f (x) = x + x2 – x3, -

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Q: The fourth derivative for * 3 points y = x3 - 3x2 + 2 are 6x-6

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Q: Find the derivative. y = ecosh(8x) y'(x) =

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Q: Find one point on the curve where the tangent line is horizontal y2=x3-3x

A: We have the equation of given curve as y2=x3-3x Now, the slope of the tangent can be calculated as…

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

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Q: se the General Power Rule to find the derivative of the f y = 124x2 + 5

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Q: Find the point on the parabola y= -X-+4 whose tangent line is parallel with y= 3x-5,

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Q: Find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis and a tangent…

A: We have to find the maximum area of a triangle formed in the first quadrant by the x-axis, y-axis…

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: Use the the derIva tive rule to find derivative of Y= 2x3 -1 X-1 メ 6x -5 X² +1

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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: What is the derivative of a function f(x) = 4x³ – 3x2 at a number a? %3D

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Q: What is the second derivative of y = 6x² 3x³ + x² - 5 ? - Oy"= 72x² 18x + 2 Cinema) Oy" 24x³9x² + 2x…

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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 equation of the line tangent to the graph f(x)= (lnx)5 at x=5

A: First find slope then use equation of tangent tangent line

Q: 4. Find the derivative of r°(x+ 1)² y = Vr – 3x2 |

A: First i i have written the quotient rule of derivative , just use them for given function and get…

Q: Find the second derivative of y=4^x+x^2sinx

A: we have to find the  second derivative of y=4^x+x^2sinx

Q: Find the points on the curve  y = 2x3 + 3x2 − 12x + 2 where the tangent line is horizontal

A: To obtain the points where the tangent line is going to be horizontal to the curve, we need to find…

Q: f (x) %3D х3 -Зх2- 2 3x2

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Q: Use the limit definition of the derivative to find the instantaneous rate of change of f(x) 4x2 + 4x…

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Q: What is the derivative of y = 3lnx) Y :

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Q: Find the point on the parabola y= X- + 4 whose tangent line is parallel with y = 3x -5

A: Let a point on the parabola is h,k. Now the slope of the tangent line is given by: m=dydxh,k Since,…

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

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Q: Find the equation of the line tangent to the graph of y=4ln(x) at x=3.

A: Equation of tangent line

Q: Find the points on the graph of f(x) = 36x – 3x³ where the tangent line is horizontal. %3D

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Q: Determine the line tangent to f(x) = 2x2 + 3x + 1 at (-2, 3).

A: The tangent line to a curve at a given point is the line which intersects the curve at the point and…

Q: Find the points on the curve y = 2x3 + 3x² – 12x + 5 where the tangent line is horizontal. (х, у) )…

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Q: What is the slope of the tangent line to the graph of x2-xy-4y2+2x+4y=8 at (4,-2)?

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Q: with positive exponents only

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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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