4.x – 4 if x > 2 4. Suppose f(x) = Find f'(2) using the definition of derivatives. if x < 2

Q: Find the derivative of function f given by S(1) = =! X-1 3 x+3'

A:

Q: 1. If y = x³ + x - 5 then what is the derivative of y with respect to x?

A: Derivative of a function

Q: 2. g'(x) where g(x)= x² +7x-5

A: differentiation by using first principle

Q: 1. Find the derivative of each of the following functions using chain rule: y=3x* (x* -2) a)

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Q: Find the derivative of function defined as follows.

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Q: 4) Calculate the first derivative of the following functions: 1. f(x) = In 2x2+1° 2. f(x) =…

A:

Q: 1. Use the definition of the derivative to find the derivative of the following functions. 1 (b)…

A: use definition of derivative to find the derivative of the following functions a) fx=x+2 it is known…

Q: Suppose that f'(0) = 2. Find the derivative of the function (e2z – 2x)f(3x) at x = 0.

A: Given that f'(0)=2.Our Aim is to find the derivative of the function (e2x-2x)f(3x)-(i) at x=0.

Q: Find the derivatives (1st of the ff. function or as specified in the problem. Simplify the…

A: Use the basic definition of Cosh to find the derivative of the function, Coshx=ex+e-x2. Find the…

Q: 10) Find the second derivative of k(z) = 4 cscz.

A: Given: kz=4cosecz for finding second derivative of given function, we find first derivative then…

Q: 4. Find the derivative of the following function 1 y = xtanx + -

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Q: Which of the following is the third derivative of y, if * y = (sinh 5)x2

A: we have to solve the problem

Q: Find the derivative of the below functions: In(x) y = 1-8 In (x) y' = (a) = In(/ 5x – 7) y = INV5X -…

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Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given f(x)=(1-x)23  To find  Find left-hand limit derivatives from the left and from the right at x…

Q: 3. Find the first derivative of k(x) if k(x) = e(4x – 3)

A:

Q: Find the derivatives from the left and from the right at x = 1 (if they exist). Is the function…

A: Given: fx=1-x23 To Find:  To find the left hand derivative LHD and right hand derivative RHD and to…

Q: y = e* (In x)² %3D

A: Here we want to find the first derivative of the given function. For finding the derivative we use…

Q: In 5 x+1 Find the derivative of y = logs ((*)) with respect to x-1 independent variable x.

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Q: What is the derivative of the expression (xy)" = e 1+ In(xy) 1+ In(xy) y O Option 1 Option 2 1+…

A: Given (xy)x=eTo find Derivative:

Q: Use the theorem of Leibniz in the following problems: 1. Obtain the n'th derivative of: x2y [x?y") +…

A: The objective of the question is determine the nth derivative of the given equation.

Q: Q2 find the derivative of the following: 1) y = 2stn (5x) ,2) y = In xn cosh 5x ,3) xsin-14y = y…

A: “Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: Suppose that the first derivative of f(x) = x² In x is approximated by the following formula f'(x) ≈…

A:

Q: Let y=x(lnx)^2. Find the value of x for which the second derivative y"(x), equals zero.

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Q: In (1 + 2), What is the derivative of y .? e2z %3D

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Q: What is the first derivative of the expression (xy)^x = e? Hint: this involves implicit…

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Q: find the derivative of y with respect to the givenindependent variable.

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Q: 19.What is the derivative with respect to a of f(x) = 4-32 3z+2 4x-3

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Q: Suppose h(x): . What is the correct result of the derivative of h with respect to x? 3x · In (5)…

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Q: If g(3) = −2 and g'(3) = 15, the compute the derivative of g−1(x) at x = −2

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Q: 1. Find the derivative of the following f) y = (2x − 1) ( x³ − x) + √x[2(x³ − x) + (2x − 1)(3x² −…

A:

Q: 2. If f (x) = xV x + 3, find the derivative of this function and the slope of the tangent line at…

A: Product rule of differentiation: (fg)'=fg'+gf' The slope of a tangent line at (a,b) is given by:…

Q: 5. a) Find the first order derivative of the following function. y x° In x

A: Note: According to bartleby we have to answer only first question please upload the question…

Q: 2. Find derivative of given function defined as follows 2x y = e = ²

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Q: In (4x) Find the derivative of y with respect to x if y = sin (8 e') dt.

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Q: In x 3. Compute the approximate derivative of f(x) = · at x = 2, using three-midpoint x² + 1 formula…

A: Given is a function and at a point at which the approximate value of first derivative of the…

Q: 4. Show that the derivative of log,(Va +5) is 3(r + 5) In(2)

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Q: -7/2 = 8. Calculate the derivative of y with respect to , if x/2 + y dy dx

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Q: The derivative of x at X = 1 is to I Frue or false 2

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Q: 3. If the derivatives of h with respect to U; for h=²u

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Q: Find the derivative. y= e at O 4(1/4)x -4(5/4)x In 4 4(3/4)x In 4 4(5/4)x 25 n4 16

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Q: Q3: find the derivative of the following: 1. y = Inx + √√1-x² sech-1x

A: I have given the answer in the next step. Hope you understand that

Q: Suppose y is a function of x. Find the derivative (dy/dx) of the function.

A: We have to find the derivative of the given function   The given function is   x2y2=x2-y23

Q: 2. Find the derivative of h with respect to u if h = n²u

A:

Q: If g(z) = 6z-2), then its derivative is given by:

A: For simplification, take natural logarithm on both sides of the equation gx=6x2-2 and apply the…

Q: Find the derivative. f(x)=tanh(2 + e^3x)

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Q: 3 Find the derivative with gicapeet to X If f(0 = 0-7 The derivatie with reapeet to X If -7X is…

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Q: Find the derivative with respect to x of h(x) = e2x²+6 In(x).

A:

Q: Monday, 1) Find the derivative of the given function with respects to e y = 3lan® In 3

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Q: 1. Find the first derivative of the following. а. у%33x y = 3x² + 6 y = 2-1

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.