Show that e is entire function.Find its derivative

Q: Find the derivative of the function.

A: Given: f(x)=x2+5-3x-2 To find its derivative.

Q: 3 11. f(x) = Vx-6Vx 12. f(t) = t3 -t3 +4 ww-

A: Basic derivative formula can be used to solve the questions. ddx(xn)=nxn-1ddx(cosx)=-sinx

Q: Find the derivative of the function.

A: We have a nested form of functions . We have to use chain rule of differentiation to find the…

Q: Find the derivative of the function. h(x) = x² arctan(9x) h'(x) =

A: Here we will find the derivative of the given function by using the product rule,

Q: Find the derivative of function.

A:

Q: [3 + x? cot(x²)]-3 -3[2x cot(x²) – 2x³ sec²(x²)] [3 + x² cot(x²)]4 A -3[2x cot(x²) + 2x³ sec² (x²)]…

A:

Q: Find the derivative of function.

A: We have given y=-2ln x3x-1. Differentiate both sides with respect to x. Use constant multiple rule…

Q: a) x'+y = In xy x(t)3Darcsin VI+r' b) teR-(0} y(t)%3Darccos V1-1

A: (a) Consider the given equation. xy+yx=lnxy We have to find derivativedydxhere.…

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: