Using the definition of derivative, find f' (x) for the function Let f(x) = x-3'

Q: Derivative of In |x| Differentiate In x, for x > 0, and differentiate In(-x), for x < 0, to conclude…

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Q: Using Leibnitz theorem, the nth derivative of xy, is

A: We have to find nth derivative of xy1 using Leibnitz theorem.

Q: By using the definition of derivative find the derivative of f(x)=x^2

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Q: 1/x using the definition o

A: we have to find the derivative of f(x) using the first principal. f(x)=x+1x

Q: Use Leibniz’s Rule to find the derivatives of the functions

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Q: Differentiate the functions. Find the derivative of y with respect to x. Use the given relation…

A: Given : Function y = x3 + 12   To find : Derivative of the given function dydx?

Q: Use the Product Rule or the Quotient Rule to find the derivative of the function.

A: The rate of change of y value with respect to the change in x value is known as the derivative of…

Q: Find the derivative of 1 f(x) || 1+ Vx using the definition of derivative. State the domain of the…

A: We have to find the derivative of the given function by using the definition of derivative.

Q: Use the limit definition of derivative to find the derivative of the function with respect to x.…

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Q: Find the derivative of function and simply it whenever possible y= ln(ln sec x)

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Q: Use logarithmic differentiation or an alternative method to find the derivative of the function. y =…

A: Take log then differentiate

Q: Using either limit definition of a derivative at a point, determine the equation of the tangent line…

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of f(x) at the designated value of x (Using Derivative Rules). 3 11. f(x) = x*,…

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Q: Find the derivative. Simplify where possible.  f(x)= ex cosh x

A: Given function is

Q: Find y' if y = 5x + 2 using the limit definition derivative

A: Y'  or 1st derivative is evaluated using limit.

Q: logarithmic differentiation to find the derivative of y with respect to the independent variable. #2

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Q: Using the FOUR-STEP RULE, find the derivative of y= tan(x) %3D

A: Given query is to find the derivative of the expression.

Q: Find the derivative. Simplify where possible. f(x) =ln  ( cosh x )

A: fx=lncoshx

Q: second derivative of f (x) =e**?

A: Given that: f(x)=ex2

Q: FInd the derivative using implicit differentiation rules x2+y2=x+y

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Q: derivative of arctan(1/x)

A: Solution:- we have to find the derivative of  y=arctan1x=tan-11x

Q: Find the derivative of f(x)=x tan x- cSc x.

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Q: Use the definition of derivative (do NOT use the short cut method) to find f'(x) given that f(x) =…

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

Q: Calculate the derivative of f(x) = x^(1/ln(x)). What can be said about f(x) based on its derivative…

A: Consider the function,

Q: Find the slope of the graph of the function at the given point. Use the derivative feature of…

A: The slope of tangent to a curve y=fx  at point a,b is given by dydxx=a.

Q: Find the derivative of the function using the definition of derivative. f(x) = x4 f'(x) = %3D

A: To find the derivative of the given function using the definition of derivative.

Q: y=e* sin(x)

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Q: Find the derivative. f(x) = x sinh(x) - 4 cosh(x) %3D f (x) =

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Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: Find the derivative of f(x) = (x2-ex) tan x

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Q: Compute the derivative of the function y = 8 sin-(x) at the point x = (Use symbolic notation and…

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Q: Use definition of derivative to find derivative of the function f(x)=3/x+2, at x=-1

A: Given f(x)=3x+2    at x=-1To find f'(x) at x=-1

Q: Find the derivative of the function. f(x) = ln(2 − x2)   Thank you for your help!

A: Given function f(x) = ln(2-x2). Here we need to find the derivative of f(x) with respect to x.We use…

Q: Using chain rule, find the derivative of the hyperbolic functions: f(x) = tanh(4x) f (x) = In…

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Q: Find the derivative of the algebraic functions f(x) = x (1-) x+3, : g(x) = x + cotx

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Q: What is the rule for calculating the derivative of a composite of two differentiable functions? How…

A: Let us we consider a function which is real valued function which is composite of of two functions…

Q: Find the derivative of f(x)=x2-3x. Use the result to find the slope of the tangent line to the curve…

A: Given: fx=x2-3x To Find: The derivative of the given function and the slope of the tangent line at…

Q: Using method of sub., find the Anti-derivative 1 x In x

A: detailed solution is given below

Q: derivative

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Q: Find the derivative of these functions with respect to x.   xsin-1(In(x))

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Q: Find the first derivative of y = (In x)"

A: The differentiation of nested form of function is calculated using the chain rule of…

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

A: Applying natural logarithm on both sides, we get

Q: Find the derivative of f(x) = 3/x at x = 3 by using the definition of derivative. Note that you will…

A: Given,f(x) = 3x at x = 3

Q: use logarithmic differentiation or the method to find the derivative of y with respect to the given…

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Q: function

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Q: State the notation/symbol for: derivative of y with respect to x derivative of f(x) second…

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

Q: Find the derivative of the given function by using definition of derivative  f(x)= sec(x)

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Q: 3 sin(x) +x² In(x) – 2x Find the derivative of f(x) = using derivative rules.

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Q: How do you find the derivative of the quotient of two functions that are differentiable at a point?

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Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.