Ax) = VIn x

Q: Explain the method of proving the derivative (dy/dx) of sinh(x) and cosh(x) ?

A:

Q: What is the derivative of ex? What does it mean that the derivative is equal to the value of the…

A: Explanation of the solution is given below...

Q: Find the derivative of the given function. Infsech(x) + tanh(x)) 1) sechx+tanhr sinhx+1 sechx-tanhx…

A:

Q: (x²+1)* V1-x y = In

A: Use the chan rule of derivative then simplify the result.

Q: The instantaneous velocity of a particle is defined as the derivative of some functions. Select one:…

A:

Q: Find 3rd order derivative of y with respect to x , if x = a sint, y = b cost.

A: Given: x = a sint y = b cost -------------------------------------------------- To find: 3rd order…

Q: Find the derivative of f(2) = sinh(2²) – 2z cos(32). Is this an analytic functio %3D

A:

Q: Find the derivative of the function f(x.y) = tan -1y at the point (- 9,9) in the direction in which…

A: To find the derivative of a function at a point (-9, 9) in the direction in which the function…

Q: . Find the equation of a line tangent to the graph of f (x) = cotx at x = T/4. .Find the derivative…

A:

Q: Find the first derivative of f(x) = e3r

A: To find the first derivative of fx=x3e3x. Solution: Quotient rule of derivative states that:…

Q: Find the derivative of the function: f(x) = ln X x+1* Is there a shortest way? Please explain.

A: We can find the answer in the following steps.

Q: The derivative of function y = tanh¬1 (sec(3x²))

A:

Q: Calculate the derivative of f (x) = cos (7æ³ + 2) %3D showing all your work.

A: Topic-derrivative

Q: How do I find the derivative of this? Isn't it the Quotient rule?

A: Given,

Q: y = In (x+2), (х-1)2

A: Given that: y=lnx3x+2x-12

Q: y у %3 4a/сosh a

A: Consider the given hyperbolic function y=4acosha The given function can be written as, y=4acosha=4a…

Q: Estimate the root very near x = 0.4 of 4(x*)" - 4(x²) + 1 = 0 using the Newton- Raphson Method with…

A: Consider a function:  fx=4xx4-4x2x+1      =4x4x-4x2x+1

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

A: According to the question, we have to find the derivative of the function fx=arctan ex. The…

Q: find the first order derivative of y=sin 0.5√x/x at x=8, h=0.2 a. Forward difference B. Backward…

A:

Q: Calculate the derivative of y=arctan√ex at x=0.

A: We differentiate both sides with respect to x using the chain rule.

Q: Shows the derivative function of: TC = Q³ + 2Q²  + FC(Q), where TC = Total Cost and FC = Fixed…

A:

Q: can explain for me what is Applications of Partial Derivative ?

A:

Q: Find the derivative of y given that y = In (sinh x) %3D

A:

Q: Find the derivative of f(x)=ex/(sqrt x) at x=1. Round your answer to 4 decimal places.

A: Find the derivative of f(x) = ex/(sqrtx) at x=1 round your answer to 4 decimal places. We know that…

Q: Please kindly use chain rule on the below to find the derivative and label all parts.  h(x)= cos…

A:

Q: Solve for the derivative of t y =2 V3-z Previous

A: This is a basic differentiation problem

Q: explain to me details what is Distinguish Between Partial Derivative and Ordinary Derivative ?

A: Given

Q: derivative of g(x)= intergral from 1 to root x, (z^2)/z^4+1

A: ddx∫1xz2z4+1dz

Q: Use the power rule to obtain the derivative of the first term. 10(x-1/3) = 10( dx Submit Skip (you…

A:

Q: Find oy y'

A: We have to find

Q: We want to use the Richardson method to calculate the first order derivative antisymmetrically at…

A: We need atleast 2 points to calculate the Richardson second order derivative. The small parameter…

Q: Find the first derivative in the form of dy/dx  y=(3x-2) sq rt(3x-2) please show all your work so…

A:

Q: Find the derivative of y with respect to s. y= sec -1(9s5 + 5)

A: To find the derivative of  y=sec-1(9s⁵+5)

Q: f (0) = 2 sec 0 + tan 0,0 < 0 < 2n

A:

Q: How did he get the second derivative step by step and a clear line please 3 F(x) = 1+e siny x Fex)…

A: Let fx=1+e-xsin 4x

Q: How do I find the 20th derivative of f(x)=(2cos x)(cos 3x)? I think there must be some trick because…

A: Given:

Q: What is the derivative of y=(1-x-1)-1  Please show steps. Thanks.

A:

Q: How would you find the derivative of sin (z^6) + sin^6 (z) using the chain rule?

A:

Q: rsin x 3. F(x) = f* Vi dt

A: on solving this we get the

Q: 32. y t + e3t

A:

Q: The value of the second derivative of at its point of inflection is A less than zero B equal to zero…

A:

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

A: Given: y=∫x22x2lnt dt

Q: Obtain the derivative of the function y (ctg(5x))} y =- - sen? (5x) + 1

A:

Q: What is the 2nd derivative of y=cosh(x+y)?

A:

Q: g. y = In (; ex-1/

A: Derivative of function gives the slope of the tangent at that point. The rate of change of a…

Q: 5. Find the 25" derivative of y= In x.

A: We have to find the 25th derivative of y=ln(x)

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: