Find the derivative of the function. y = tan−1 (square root of x - 4)

Q: What is the derivative of the given equation below? (3 + x)² (x + 1)3

A: Consider the expression 3+x2x+13 In order to find the derivative of the expression, use below rules…

Q: Find the derivative of the function.

A:

Q: Find the derivative of the given function. Y = 34

A: The given function is:y=34

Q: 33. G(x) = 4C/s

A: on doing differentiation with respect to  x we get

Q: Find the derivative of the given function. y = In (- 25x² + 3x) y' =D %3D (Турe an exact answer.)

A: Solving by derivative rule

Q: Find the derivative of the function y = √(e2x + e−2x)

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Q: Find the third derivative of the given function g(t) = Square Root of 5t+3

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Q: h(x) = In|x| %D Find the derivative of the function

A: Differentiate by using quotient rule

Q: g (x) sin? x + cos?

A:

Q: Find the second derivative of the function.

A: The first derivative is initially found, so that the second derivative can be found. This is because…

Q: 3. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: Given function is f(x)=2x+3 find the equation of tangent lines at x=-1 and 2

Q: Find the derivative of the function. y = [x + (x + sin?(x))³]5

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Q: Find the derivative of the function.

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Q: find the derivative of the function f(t)=square root of 4t^2-t

A: Given         f(t)=4t2-t

Q: Find the derivative of the function y = In(5e – 9xe "). y = ||

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Q: calculate the derivative. g(x) = e2

A: We know that the derivative of a constant is zero. This result is used to prove the given statement.

Q: Q. / Find the derivative of y = (In(x²))'n(x²).

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Q: Find the derivative of the following​ function, where a and b are nonzero constants. y=asinx + bcosx…

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Q: Find the derivative of the function. y = e In(7x)

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Q: Find the derivative of the given function. y = - 9sin (5x4 - 6) dx ||

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Q: Find the second derivative of the function. h(t) = −12 csc t

A: Given: h(t) = −12 csc t

Q: (A) Find derivative of y = In V4+ a2

A: Given that a function y (x) and we find derivative of this. We know that : d(lnx)/dx = 1/x . Here i…

Q: Find the derivative of the function. s(x) = (x? - 1 s'(x) =

A: Given: s(x)=xx2−1x

Q: Find the derivative of the function Y= x^11e^x Y’=?

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Q: Find the derivative of the function. u(x) = (x² + 1)3³ ? - 1

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Q: Using the definition of derivative, find the derivative of the following functions: (a) y = xvx² -2…

A: (1) Y = X*(X2-2)0.5       dY/dX = (X2-2)0.5  + (1/2) *(1/(X2-2)0.5) *…

Q: h(x) = (cos x)(4x²– 3)

A: Explanation of the answer is as follows

Q: B. Find the derivative of the following functions, then use the derivatives to find the equation of…

A: f(x)=2x+3 at the points x=-1 and x=2

Q: Find the derivative of the function g(t) = et et+e-t

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Q: Find the derivative of the function. f(x) : et? + 9

A: This question is about finding derivative of function.

Q: C) Find the derivative of y= (1+ x²)*

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Q: 2x Find the derivative of h(x) 2x + 3

A: Given:  Function  h(x)=-2x2x+32

Q: -6-X 1.) y = cos -6.x3 y =

A: We have to find the derivative of the function: y=cos-1 -6x3 We know the formula of derivatives,…

Q: Find the derivative of the function. y= -3(6x2 +8) -6 dy dx (Type an expression using x as the…

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Q: A) find the 1000th derivative of the function: y = xe¬x.

A: Find derivative

Q: Find the derivative of the function y = (csc x+ cot x)-1.

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Q: Find the derivative of the function

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Q: Find the derivative of the function. h(s) = -2 -2V9s + 1 2 h'(s) %3D

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Q: Calculate the derivative. g(x) = e2

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Q: Find the derivative of the following function. y csc 20-2 de

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Q: Find the derivative of the function. x11 + 2 y = e y' =

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Q: +++ = 1 find the second derivative y

A: topic - second derivative of a function The given equation is 1x+1y=1 To find the second derivative.

Q: Find the derivative of the function y= 4, 5x 3x+5 The derivative is

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Q: at x= 1

A: 9). Given function is fx=2ex-x. To find derivative of the given function at x=1. Solution:…

Q: second

A: y'=ddxlog x-1x+1=1(x-1)1/2(x+1)1/2 ddx x-1x+1 =1(x-1)1/2(x+1)1/2121(x-1)1/2(x+1)1/2 ddxx-1x+1…

Q: Find the derivative of the function. Simplify and express the answer using positive exponents only.…

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Q: Find the derivative of the function f(x) = (4x? – a – 4)* at x = - 1. %3D f'(-1) = Pr

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Q: 2. f(x) = 2x – 5x%

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Q: Find the derivative of the function. - 12 y3= dx

A: Topic - derivatives

Q: Find the second derivative of this equation??   j(x) =e^(xsin(x))

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Rate of Change

The relation between two quantities which displays how much greater one quantity is than another is called ratio.

Slope

The change in the vertical distances is known as the rise and the change in the horizontal distances is known as the run. So, the rise divided by run is nothing but a slope value. It is calculated with simple algebraic equations as: