Consider the function h(x) = x² – 2x + 3, x ¤ R. For what values of x is the gradient of the curve of h(x) negative? 1 2 3 4 x < 1 x ≤ 2 x > 1 x ≤ 1

Q: Directions: Differentiate the following functions. 5.) y = In(x* + 5) 6.) f(x) = x*e3% %3D

A: 5)y=lnx4+56) fx=x4e3xTo find its differentiation

Q: For males born in a certain country in the year 1991, their life expectancy was 66.4 years. For…

A: We have to solve the given problem by given data.

Q: Suppose f is a function with f(16) = 23 and f '(16) = 2. Estimate the following values of f. f(13)=…

A:

Q: Find the local maximum, minimum and saddle points of the function using the second derivative test:…

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Q: Differentiate the function. h(t) = √t-8e* h'(t)

A:

Q: 16. Differentiate. f(x) = et %D ex+x

A: differentiating both sides with respect to x and solve the question. see 2nd step.

Q: 17. Which equation is equivalent to the piecewise function shown below? 2r,x 1 2x-4.x>1 A y= 2x- 2-…

A: Given piecewise function is-y=-2xx≤12x-4x&gt;1.......(1)i.e y=-2x when x≤1and y=2x-4 when…

Q: 4. h(x) = x+ 1

A: INVERSE FUNCTION If the input a of f  yield output b, then the inverse of the f yield a as output…

Q: If f is the linear function f = 3x - 1, what is the value of ? dx

A: Given: f(x)=3x-1 To find out: df/dx

Q: Let f(x) be the height of a maple tree in inches and x the number of years since 2000. A linear…

A: Given that Equation is f(x) =9.44x + 84.182

Q: 17. S(p) = /p - p %3D

A:

Q: Use the graph of f and g. Let p(x) = f(x)g(x) and q(x) = f(x)/g(x). Find p'(8)= and q'(5)=

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Q: Let f(x) be the height of a maple tree in inches and the number of years since 2000. A linear model…

A: Given equation f(x ) = 9.44x +84.182 (A ) Given x=11 then f(x)= ? ( B ) Given f(x) =246 then x = ?

Q: Differentiate f(x) = Vx² + 1(³. Do not simplify. x+2"

A: