If f(x) = 15x + 4, find ƒ'(5).

Q: If f(x)= square root x​,find f′(3).

A: Given  f(x) = square root x        = √x        = x^(1/2)

Q: y = In(2x² + 11x – 9)

A: We have y=ln(2x2+11x-9) To Find its derivative we use  ddx(ln x)=1x

Q: Please find equations for the lines tangent to the graph of f at the point where x = a.  f(x) = 2x3…

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Q: The second derivative of f(x) = ex²-8 is %3D Font Sizes

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Q: Find the slope of f(x)= (x^2-1)-(2x-3) at x=2

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Q: the equation of the tangent line to f when the slope is

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Q: What is the equation of the tangent to the curve of the function: f(x) = 6x³ + 4x² +3x+2 when x = 1?

A: The given function is: f(x)= 6x3+4x2+3x+2At x=1, y=f(1)= 6+4+3+2= 15

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

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

Q: Find the derivative f(x) = √(7 + 4x2) - (1)/(5x2 + 9).

A: Consider the provided function, fx=7+4x2-15x2+9 Find the derivative of the function.…