Calculate derivative f(a) = 13= 43 30 х %3D d 13 -30 x'3 t16e^)= %3D

Q: h(x)=(x° +1} (2x+5)*

A: Given : hx = x2+132x+52

Q: Compute the derivative of the function y=arcsin1√x at x=2.

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Q: Find the second order derivative if  y = xx

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Q: Find the derivative. Simplify where possible. hx) = (1 - cosh x) /( 1 + cosh x)

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Q: 1. у %3D х+/x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: kel derivative

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Q: what would be the output if the 2nd derivative is negative

A: We know that for a function y = f(x), the points of extremum are obtained if the first derivative of…

Q: 29. Find the 5th derivative ofy= sin2x

A: 29. Given function is, y=sin2x. The first derivative of y is, y'=ddxsin2x=cos2x·2=2cos2x   The…

Q: Compute the derivative. (x) = ex sinx

A: Derivatives can be defined as rate of change of function with respect to an independent variable. It…

Q: use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

A: Given function is y=ex-12. To find the derivative of the given function. Solution: Chain rule of…

Q: Find the derivative of the functions. y=cosh^-1 (3x)

A: We have to find derivative of the function: y=cosh-13x Rewriting the function, y=cosh-13xcosh y=3x…

Q: Determine the first derivative of the ff. function y = 2 + arctan(3 sec 2x)

A: We have to find the first derivative of the function: y=2+tan-13 sec 2x We know the formula of…

Q: 6. y%= arcsin a Va2-x2

A: Given: 6. y=xa2-x2-arcsinxa

Q: y = sec (2 – 3x)

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Q: Evaluate the 2nd derivative at the given point.

A: We differentiate both sides with respect to x. Then we plug the given point.

Q: Find the derivative of 1. y= tan (x* + 3x³)

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Q: Calculate the derivative. 1 y = log 5x y' =0

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Q: what is the first derivative of arccos4x

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Q: 1 y = ┤㈑┤慈┤

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Q: Find the derivative of the function f(x.y) = tan -1 y at the point (4, - 4) in the direction in…

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Q: Determine the derivative of 6x log3(x)

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Q: Use the General Power Rule, Exponential Rule, or the Chain Rule to compute the derivative. y = ex−12

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Q: calculate the derivative y = ecosh−1 x

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…

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

A: Consider the given function. y=tan-1x-4 The objective of the problem is to find the derivative of…

Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x^sin (3x)

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Q: Find the derivative of the function y = cosh−1(3x)

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Q: Derive a formula that approximates the second derivative of the function sampled at x = 0, 0.01,…

A: Let us assume that second derivative function  f"x0=Afx0+Bfx0-h+Cfx0+2h can be rewritten as…

Q: Find the Derivative of the hyperbolic function (3.11): y=sech(x)*(1+ln(sech x))

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Q: Find the derivative of y = etanx

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Q: What is the value of the second derivative y" at the point (4,3)

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Q: How to solve for the second derivative?

A: The objective is to solve for the second derivative. Consider a function fx=3x4

Q: What is the derivative of y = sinx x³ ?

A: Given that,   y=sin xx3

Q: Find the first and second derivative of f(x) = ln(x)/rootX

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Q: solve the first and second derivative of Y= (1+lnx)  /  x

A: If y=f(x), then the independent variable x is called the input of the function, and the dependent…

Q: water leaking onto a floor creates a circular pool with an area that increases at the rate of 3…

A: Let  A=π r2 differentiating A with respect to time tdAdt=2πr…

Q: What is the second derivative of y = sec “(3 x) ?

A: For the question 1, none of the options match. If the question had asked for first derivative of y…

Q: find implicit derivative dy/dx of x2sin2(y)+2x2=y

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Q: Use Leibnitz's Theorem to calculate the 4th derivative of y = x+sin(4x)

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Q: Calculate the derivative. y=3/log5x

A: Given function is

Q: Use Delta method to find the derivative of e*

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Q: gives a good approximation, where t is time in years since 2007. Find the derivative function R'(t).…

A: The model representing the given data is defined by the function Rt=0.25t2-t+29 gallons, where…

Q: Find the derivative of the function without using the Quotient Rule. y = -

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Q: calculate the derivative y = cosh−1(3x)

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Q: Find the derivative. y(x) = x tanh−1(x) + ln (sqrt (1-x^2))

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Q: Find the nth order derivative of the cube root y=3√x.

A: We first find the first three derivatives using the power rule

Q: what is the second derivative of -y/x

A: Apply the quotient rule, If f=uv,thenddxf=vdudx-udvdxv2 If f=-yx, where y is the dependent variable,…

Q: Find the first derivative of the function below: f(x) = arctan(sec(x ))

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Q: calculate the derivative y = (sinh−1(x2))3

A: Given The chain rule of derivative is given by: The derivative of the inverse hyperbolic function…

Q: derivative of log,10x is :

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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.