3. Y at t = 2, Y¹ = y² + t² > Y(1) = 0, h = 0.1 and h = 0.05

Q: 16. 0"(t)(t) = t sint

A: The objective of this question is to find the derivative of the function f(t) = t * sin(t).

Q: 6. y=x(x-2)(x-) plot the conic Curve

A: Given, y =xx-2x-10  We have to plot the curve.

Q: Find the equation of the line that is tangent to y = ln x at x = 1.

A: Find the equation of the line that is tangent to y = ln x at x = 1.

Q: y(0)=0.5

A:

Q: Compute dy/dx for the function. 2. y= sinh 7x

A: y=sinh27xdsinh(x)dx=coshx

Q: Differentiate. 12 f(x) = 17 f'(x) =|

A:

Q: y = x ln x ||

A:

Q: 3. (2x – y)3 = 3x?y, find y' %3D

A:

Q: y= x2/5 Local extrema

A:

Q: Find y". y310x cos X y'" =D %3D

A: Please refer to the image below.

Q: What is the derivative of M(t) = 1.19t + 13.22

A:

Q: find dy y = ln (1 + x2)

A: The given function is y=ln1+x2. Obtain the differential as follows.

Q: Find the derivative of the function. - 6 y = dy %3D dx

A: For the solution follow the next step.

Q: Find an equation of the line tangent to the graph of ​G(x)=3e−2x at the point ​(0,3​).   y=

A:

Q: Find the second derivative. 3 y = 8x 2 - 4x²³² + 3e*

A: Given a function,y=8x3−4x2+3exTo Find: the second derivative.

Q: y(x) =x' (2x – r²)

A:

Q: Given h(x) = ,(2t? – 4t) dt, write the equation of the tangent line at x = 1. %3D

A:

Q: 7. Solve (a) y' = (5y²)-1

A: