Find the derivative of the function and evaluate the derivative at the given h(x) =x*; a = 1 Find the derivative of the function. %3D dx Evaluate the derivative at the given value of a.

Q: dy for the function y = x7² by using logarithmic differentiation. dz Find the derivative

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Q: Find the derivative. dx dx

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Q: Find the derivative of the function

A: Given expression

Q: a d Find the derivative: dx In(*) dt

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

A: Differentiate by using quotient rule

Q: e +e =e**

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Q: Consider the derivative function 8³ –4/E k (x) = 3 sin æ + What is the general antiderivative of k?…

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Q: x* (x – 1)? (x + 2) (x² + 1)* Calculate the derivative by logarithmic differentiation: g(x)

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Q: Find the derivative of the exponential function. y = e5x tan(5x)

A: given that  y =e5x  tan(5x)  So dy/dx=e5x d/dx(tan 5x)+tan (5x). d/dx(e5x)                 i.e…

Q: Use logarithmic differentiation to find the derivative of y with respect to 0. e+3 y = O cos e Find…

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Q: 18. a. y = 3 ln x – In (x + 1) b. y = In x +1

A: We need to find derivative of given functions and prove that they are equal.

Q: g(x) = e v find the derivative g'(x). 1 2e* 1 cev 2Vx e. B. A.

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Q: H(x)= x^5 arctan 5x find the derivative of the function

A: The given function is,

Q: Find the derivative. d 6. dx 6. X, dx

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Q: xsinx sec (x)

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Q: Find the derivative of the function and evaluate the derivative at the given value of a. h(x) = x*;…

A: Here we have to find the derivative of the function and evaluate the derivativeat the given value of…

Q: Find the derivative of the function. g(x) = 800(3 − e−0.1x)

A: g(x) = 800(3 − e−0.1x)

Q: e sin e Use logarithmic differentiation to find the derivative of y with respect to 0:y Vsece

A: Solution : We need to find out the derivative of y with respect to θ by using the logarithmic…

Q: Determine the first derivative of the ff. function x? + 1) y = V1 + In x

A: y=x2+11+lnx

Q: Find the derivative of the function and evaluate the derivative at the given value of a. X = (x)4 ;a…

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Q: 3x+2 2 dx find the first derivative 9x y

A: Given :y=3x+29x2

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

A: Given: s(x)=xx2−1x

Q: Compute the derivative: d x4 – 4 dx \ x2 – 5 lz=D3 The derivative is:

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Q: Find the derivative of y with respect to the given independent variable. y = 4x' log 4x dy (Type an…

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Q: e°+7x , + In(Vx y =

A: on doing differentiation with respect to x we get  dy/dx=e^(x^3+7x)d/dx(x^3+7x)+1/√x.d/dx(√x)…

Q: Find dy/dx, using implicit differentiation. HINT [See Example 1.] y In x + y = 9 Compare your answer…

A: We are required to find its implicit differentiation. After we have to differentiate if for y as a…

Q: Find the derivative of the function. g(x) = 700(1 − e−0.1x)

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Q: for the function y = dz -() The derivative dy for the function y= cotV3-2 dz The derivative

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Q: Find the 149th derivative of (1 + x°)¨ at x 25 =D0 Question Help: M Message instructor Add Work…

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Q: sin(a²-2) y = x2 Find the Derivative - d/dx

A: We can make it easier for you.

Q: C) Find the derivative of y= (1+ x²)* D) Find the derivative of f(x) = log3 5x? + 1

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Q: Find the derivative of the function

A: Find the derivative of the function

Q: Find the derivative using logarithmic differentiation   y=√(x) (x+1)^(3)

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: csc x The derivative of the function y = at x = 1 is equal to

A: We use the quotient rule

Q: Solve the problems below: 1. Find the 25 derivative of y=x. 2. Find the nth order derivative of the…

A: 1. Consider the given function, y=x20 the first derivative of the function will be,…

Q: Find the 600th derivative of f(x) = xe−x.

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Q: Find the derivative of the function. y = ln(5x2 − x) + 3x $$10x+25x2+2x   P.S this question isn't…

A: differentiate both sides with respect to x and solve the question. see 2nd and 3rd step.

Q: Find dy/dx by implicit differentiation. Then find the slope of the graph at the given point.…

A: Given function is x+y3=x3+y3. To find dydx and then slope of the graph at point -1,1. Solution: We…

Q: Find the derivative of the exponential function. y = x2ex − 2xex + 4ex

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Q: 14. y = a' + cos'r

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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: Q2: Consider the implicit equation: y² – y – x² = 0 Find the implicit derivative dy/dx, and…

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Q: Find the derivative of the function r(x) = (ln(x2))

A: Given function  r(x) = ( ln (x 2))3 Derivative of r(x) is determined as shown below

Q: p>Find the second derivative of f (x) = x*e".

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Q: y = x5 – Vx +, find d5y dx5

A: We write y using exponents. Then use the power rule.

Q: Find the second derivative of the function. f(x) = e−4x + e2x

A: Given query is to find the second derivative fi the expression.

Q: h(x)=83x3+32x2+120x+9 Given the function above, use the First Derivative Test to find the local…

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Q: Find the derivative of the function. h(t) = 8 ln(t3)

A: The given function is ht=8 lnt3. Obtain the derivative as follows.

Q: Find the derivative

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