Differentiate the function. H'(z) .2 - In ( √ ²3 ²2 = ²/² ) .2 +z² H(z) = In =

Q: For what value of x does the function g(x) x - 2x concave downward? В. A. x -1 D. x< 2 C. x -2 1/3

A: The graph of y = g (x) is concave downward on those intervals where y = g "(x) &lt; 0.

Q: y-(x-5)2 + Sin-l XY 4.

A: To expand: y-(x-5)2+sin-1xyx+5.

Q: Given: f(x) = 5x+8 %3D Find: f'(x)

A:

Q: Suppose that f(x) = √3+e. Find ƒ' (2). f'(2) =

A:

Q: 7 -1,-2.5) 0-5) ,0- S (1-10) 14 -21 (2,20) y-intercept End Behavior: As x oc as x OC

A: Y intercept is the point where x=0

Q: 2. A manufacturer wants to design an open box having a square base and a surface area of 104 square…

A:

Q: Differentiate the function 8.

A: Given:   h(x)=54x5−3x3+88

Q: If f(x) = = √2x+6, find f'(x). Find f'(2).

A:

Q: Pure Water Enterprises finds that the marginal profit, in dollars, from drilling a well that is x…

A: The marginal profit is defined as the first order derivative of the profit function. So, we can…

Q: Given: f(x) = 3x-2 Find: f'(x)

A: Find your answer below

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: Find the required higher derivative. Show your complete solution. 11x² 2 8. y=8x³-7x¹ −5x³+ -x+10;…

A:

Q: For the function f(x) = , find f'(x). 4x 7-x' f (x) = Answer: %3D

A: The given function is: fx=4x7-x      .....(1) To find the value of f-1x

Q: 1 3. Let f (x) = 4x +- х Find f'(x) S f(x)dx а. b. Find

A: Here given as fx=4x+1x Differentiate as f'x=ddx4x+1x=ddx4x+ddxx-1=4-x-2=4-1x2

Q: 1 Find f'(-1) if Ax) = (2x + 1)², O-4 04 O-1

A: The given function,       fx=12x+12

Q: For each problem, find the function f based on the information given. 13. f'(x)=√x(6+5x) 14.…

A: 13) Given:  f'(x) = x6+5x ⇒f'(x) = 6x12+5x32 Integrate both sides with respect to x we get

Q: Differentiate the following function. = VP + 2V7 u = u'(t) =|| I

A:

Q: Q6. Verify that 8²1 əxəy for the function f(x,y) = ln(2x + 3y)

A: Given,            fx,y=ln2x+3yTo find : Verify that ∂f∂x∂y for the given function.

Q: d²y Find the second derivative (Notation: 2 or y') if xy = y² + 2. Simplify dx² until there are no…

A:

Q: 4. y = (3x)(3x*-2x³+x²) ; Find dx3 (Higher Order Derivative) x3

A:

Q: Evaluate and simplify y'. x - 9x y= 7x+4

A: In order to minimise or maximise a quantity, derivative of that function is calculated and equated…

Q: If A(x)= 5x (1) - AP() = 1 1 + f² dt then:

A: Ax=∫05x11+t2dt