Find f. f"(x) = cos(x), f(0) = 1, f'(0) = 8, f"(0) = 6 f(x) = sin x + 7x/2 + 7x +8|

Q: If f(x) = 4x(sin x + cos a), find f'(x) = COS f'(2) =

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Q: If f(x) f'(x)= 5x sin x cos x, find Find f'(4) = %3D

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Q: f(x) = 2a? cos(a) f' (x) = |

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Q: Find f'(x) if ƒ (x) = 6 cos x + 10 sin x. S'(x) =|

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Q: First find f' and then find f. f"(x) = 4x² – a³+ 3x – 4, f'(1) = 8, f(1) = 0. f'(x)

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Q: Find f'(x) where f(x) 32 x cos (x).

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Q: Find f'(x). f(x) = (3x° + 6) ª f'(x) =|

A: ddx((3x6+6)4) Apply power rule: (u(x)n)'=u(x)n-1*u(x)=4(3x6+6)3*ddx(3x6+6)

Q: If f(x) = 5x2 – 6e* + sin4x, then f'(0) = O a. 6 O b. -6 О с. 2 O d. -2

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Q: Find f'(x) if f (x) = 2 cos x + 3 sin x. f'(x) =

A:

Q: Find f'(x) if f(x) = = (2 sin³ x + 7) (lnx + 1) 5r3+4

A: Solution to find the derivative for the given function is as follow .

Q: Get the first order derivative of the function x + sin(y – 2x) - 1= 0 - 2 1 a. y' = cos(y-2x) 1 b.…

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Q: Find f'(x) if f (x) = 3 cos x + 8 sin x. f'(x) =

A: We need to differentiate the given Function.

Q: Find f''(x) if f(x)=ex cos(x)+x3

A: Find f''(x) if f(x)=ex cos(x)+x3

Q: Find f, f "' (x) = cos(x), f(0) = 4, f'(0) = 4 f'(0) = 9 f(x) =

A: Given: f'''x=cosx, f0=4, f'0=4 and f"0=9 To find: fx Solution: We have f'''x=cosx Integrating both…

Q: Let f'(z)= 8cosx-7sind 2 f'() = 0 f(x) = 8 sin x + 7 cos x

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Q: If f(x) = f'(x) = f'(1) = 5 sin x 3+ cos x then

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Q: Let f(x) = 8x sin ¹(x). Find f'(x). f'(x) = Find f'(0.4). f' (0.4) =

A: Let To find .To find .

Q: Find f. f '(x) = cos(x), f(0) = 6, f '(0) = 3, f "(0) = 5

A: Differential equation: f'''(x)=cosx f(0)=6, f'(0)=3 f''(0)=5

Q: Find f. f ''(?) = sin ? + cos ?,    f(0) = 1,    f '(0) = 3

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Q: f' (x) = r(농) =

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Q: Let f'(x) = f(x) = V cos(eztsin(2=)) 4.

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Q: Find f', given f'(x) = f(x) = x sin³ (25) √²+1

A: NOTE: Refresh your page if you can't see any equations. . take the derivative

Q: Suppose that f(4) = 2 and f' (4) = h(x) = (2x² + 3in (f(x)))² h' (4) = (b) h(x) = 20f(x) e-2x + 3…

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Q: Given f''(x) = - 25 sin(5x) and f'(0) = 2 and f(0) = -6. Find f() =

A: In this question, we want to compute the value of f at the given point.

Q: O find fx) if CoSx @ £(x)=. Sin X O flx) = x-4CSC x+2 Cot X © f(x)= (x).cotx 3- COSX. CSCX

A: SOLUTION-

Q: Find f'(x) = = 4-5 sin(x) cos²(x) f(x) = -4 sin(x) + 5 cos(x)

A: Given : f(x)=-4sin(x)+5cos(x)   To Find : f'(x)

Q: Given f’(x)= 3 cos x - 9 sin x and f(0)= -6 find f(x)

A: We can solve this as follows:

Q: Suppose f'(x) = sin(5a²). d dz F(8z) d f(7=*) = | dx

A: Given f'(x)=sin(5x2) which means ddxf(x)=sin(5x2). Now we need to findddxf(8x) and ddxf(7x8), now…

Minimization

In mathematics, traditional optimization problems are typically expressed in terms of minimization. When we talk about minimizing or maximizing a function, we refer to the maximum and minimum possible values of that function. This can be expressed in terms of global or local range. The definition of minimization in the thesaurus is the process of reducing something to a small amount, value, or position. Minimization (noun) is an instance of belittling or disparagement.

Maxima and Minima

The extreme points of a function are the maximum and the minimum points of the function. A maximum is attained when the function takes the maximum value and a minimum is attained when the function takes the minimum value.

Derivatives

A derivative means a change. Geometrically it can be represented as a line with some steepness. Imagine climbing a mountain which is very steep and 500 meters high. Is it easier to climb? Definitely not! Suppose walking on the road for 500 meters. Which one would be easier? Walking on the road would be much easier than climbing a mountain.  

Concavity

In calculus, concavity is a descriptor of mathematics that tells about the shape of the graph. It is the parameter that helps to estimate the maximum and minimum value of any of the functions and the concave nature using the graphical method. We use the first derivative test and second derivative test to understand the concave behavior of the function.