sin x Given the function g(x) = 5tdt, find the derivative of g(x).

Q: Find the derivative of the function using the definition of derivative. 6t G(t) : t + 1 G'(t) =…

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Q: Find the derivative of the function using the definition of derivative. g(x) = V5-x %3D g'(x) = %3D…

A: gx=5-x Now the derivative is,…

Q: Find the derivative f(x)= (sin h^-1

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Q: Find the derivative of the function using the definition of derivative. f(x) - mx +b f'(x) = State…

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Q: Find the derivative of the function using the definition of derivative. 7 g(t) = VE g'(t) = %3D…

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Q: co find the exact values for the derivative of f at the given numbers. You

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Q: f(x) = √x; x = 25, x = 100. Solve, a. Find the derivative of f at x. That is, find f′(x). b. Find…

A: Given f(x)=x

Q: Find the derivative of the function using the definition of derivative. f(x) px q f(x) State the…

A: Used the definition of derivative to find the first derivative of (px+q)Answer: f'(x)=p

Q: A derivative formulaa. Use the definition of the derivative to determined/dx(ax2 + bx + c), where a,…

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Q: dy - Use implicit differentiation to find the derivative dx . Find the slope of the curve at the…

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Q: QI/ find the derivative of the following function 5x +2x+3 f(x) =

A: We use d(xn)dx =nxn-1 here

Q: Find the derivative of the function using the definition of derivative. f(x) = rx + s f'(x) = State…

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Q: Find the derivative of the function using the definition of derivative. 1 g(x) %3D 9 + Vx g'(x) =…

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Q: Find the derivative of the function using the definition of derivative. 5 g(t) VE g'(t) = State the…

A: To find The derivative and domain of the given function g(t)=5/√t

Q: Find the derivative of the function using the definition of derivative. F(x) = x + Vx + 4 1 1+ f'(x)…

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Q: (x'+1)' sin x Use logarithmic differentiation to find the derivative of the function y =

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Q: Find the derivative of the function using the definition of derivative. f(x) = ax + s f'(x) = State…

A: Given F(x) = ax + s

Q: Using the quotient rule of derivative to show that the derivative of the function cot(x) is –…

A: To find the derivative using quotient rule

Q: Find the derivative of the function using the definition of derivative. f(x) = mx + b f"(x) = State…

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Q: Find the second derivative of the function. f(x) = x sin(x) f ''(x) =

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Q: Find the derivative of the function using the definition of derivative. u + 1 g(u) : 6u – 1 g'(u) =…

A: Given g(u)=(u+1)/(6u-1) now we will find g'(u) and domain of g(u) and g'(u) as shown below

Q: sin x 2. Find the derivative of y = 3+2cos x

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Q: Find the derivative of the function. (Simplify your answer completely.) f(x) = Vtan(x) f'(x) =

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Q: Find the derivative of the function using the definition of derivative. g(x) = V9 - x g'(x) = State…

A: Find the derivative for the function g (x). gx=9−xddxgx=ddx9−x  g'x=-129−xHence,  g'x=-129−x

Q: Find the derivative of the function using the definition of derivative. g(t) : g'(t) = 0 State the…

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Q: „sin(x) Find the derivative of : y =xm9

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Q: Find the derivative of the function f(x)=x3^x f’(x)=

A: From the given problem:   fx=x3x   From the product rule:   (f·g)'=f'·g+f·g'

Q: sin(x) Find the 3rd derivative of y =

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Q: Find the derivative of the function using the definition of derivative. 10t t+ 3 G(t) = G'(t) =…

A: We have to find

Q: tan x Find the derivative of y = e'

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Q: f(x)=1-x. Use the definition of the derivative to find f", f" and f""

A: Derivative by using definition

Q: Find the derivative of the function using the definition of derivative. 1- G(t) = 4t 2+ t G'(t) =…

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Q: derivative of  f(x) = x csc(x) - 4cos(x)

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Q: f(x) = lnx/sqrt(x) Find the first and second derivative

A: Given  f(x) = ln xx We have to find the first and second derivative.

Q: sec (x) Find the derivative of f(x) csc (x) + 3'

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Q: Ln (sin? (D-C)x) Using first principle find derivative of f(x) xD-C

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Q: Find the derivatives of the function. f(x) = x² +3x. a) Find the derivative using rules. b) Find the…

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Q: tan x Find the derivative of x y = y

A: Since you have asked multiple questions in a single request,we would be answering only the first…

Q: Find the third derivative. y = 6/x

A: y=6x Will use the power formula for derivative ddx(xn)=nxn-1 Here, the function can be written as:…

Q: Find the derivative of the function. f(x) =  x ex

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Q: Find the derivative of the function using the definition of derivative. g(x) = /8 – x g'(x) = State…

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Q: Find the first derivative of f(x)

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Q: Finding a Derivative of the function. 23. f(x) = sinh 3x

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Q: Find the derivative of the function using the definition of derivative. g(x) = /3 – x g'(x) = State…

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Q: Find the derivative of the function using the definition of derivative. g(t) = g'(t) = State the…

A: Solution: Given g(t)=3/sqrt t g'(t)= d/dt 3/sqrt t  g'(t)=  -3/2×t-3/2  If t >0 then domain of…

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function. g(x) = x2 cot(x) +…

A: product rule for derivative  d(u v) = u dv - v du

Q: Find the derivative of the function using the definition of derivative. g(x) = V4 - x g'(x) State…

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Q: „sin(x) Find the derivative of : y =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: