If h(2) = 7 and h'(2) = -6, find 'h(x)' 미 dx X x = 2.

Q: Reflect  f(x)=2x^2+3x-1 over the X axis and write the new equation for g

A: Reflect  f(x)=2x2+3x-1 over the X axis and write the new equation for g

Q: Does y = (x-5)^(2/3) have a point of inflection?  Discuss.

A: The given function is y=x-523. The objective is to calculate the point of inflection.

Q: What function could have −4x+20 as its derivative?

A:

Q: -4 (3x² + 5x) 52

A: Using derivatives property we  can find derivatives of y

Q: 4. f (x) = ex²-2

A: Differentiatefx=ex2−2

Q: In(x®y²) = x² +y³

A:

Q: write the equation of the tangent to the Eunction: 2(x? +y=J%=25(x* -y^) at the point (3, 1) %3D

A: First we calculate the slope of tangent at the given point

Q: If f(x) = 5 + 2x - 3x², find f'(2).

A: To differentiate the given function f(x).

Q: 2) y=5x² -9x³

A: Using derivative of power function & subtraction rule of derivative.

Q: a. y = x* -+ 2x* -+3*+ b./(x) %3D푸-+. c. g(x) = 4 -+-4 b. f(x) = 6x + 10 4x

A: Formula: Derivative of xn = nxn-1

Q: If f(x) – 5 + 3x 5a, find f'(3).

A:

Q: If f(x) = 4x² 9x38, find f'(x).

A: To differentiate the given function f(x).

Q: If f(x)- 12+ 27, find f'(9).

A:

Q: nd the approximate elevation. climber on Mt Everest is 6000 meters from the start of his trail and…

A:

Estimate of calculation