A person's Body Mass Index is I = 2, where W is the body weight (in kilograms) and H is the body height (in meters). Estimate the change in height that will decrease I by 1 if (W, H) = (30, 1.3), assuming that W remains constant.

Q: Solve the second derivative forf(x,y, 2) = e

A: Given f(x,y,z)=esin(x²+y²)/z To find del²f/delx²

Q: Give the derivative formula for the function. j(x) 4 In x e5 = j(x)

A: The function is given by,

Q: Find the derivative of the function. 2 a) f(x) = x² ln(x) b) g(x) = 2" + log, (x + 5) +ez c) y =…

A: We have to find the derivative.

Q: Find the derivative of the function

A:

Q: Find the derivative of the function f(x) = e(z²-3z).

A: The given exponential function has one independent variable which is x.

Q: Find the derivative of the function y=ax+ba+b, where a and b are constants.

A:

Q: Find the derivative of y with respect to x if y = 4Vx(2x + 3). D. E - А. 6(2x+1) 3 B. C. 12V1 + 6 O…

A: Given: y=4x2x+3 ⇒y=8x32+12x12 Since, we know that ddxxn=nxn-1

Q: Provide the equation of the line tangent to the given function at the specified point g(x)=ln(x^2);…

A: Given : gx = lnx2

Q: Find the derivative of h(2) – (, ° ) Assume that a and b are constants.

A:

Q: Find the derivative of the function. y = log, v9x + 1

A:

Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Find the first derivative of the function (xy)* = e.

A: Explanation of the answer is as follows

Q: Find the derivative of y with respect to x if y = (13x - 26x+26) e -8x y =D %3D

A: Explanation of the answer is as follows

Q: Find the derivative y = (2x – a) (x² + e-")

A: We havey= (2x-x3)(x2 + e-x)

Q: Find the derivative of the function. y = log 4 V3x +2

A: The Answer is Option A

Q: Find the nth-order derivative of the function y=(3x2−2x)lnx, x>0.

A: Use the product rule

Q: For what values of x is the derivative of the function Vx2+ Vx equal to 1?

A: Given,           The derivative of x23+x3 equal to 1.

Q: Find the derivative of the function

A:

Q: Give the derivative formula for the function. j(x) = 4 In x – e67 j'(x)=

A: To give the formula of the given function.

Q: find the derivative of y=√e^x +1

A: The given function is

Q: What is the decreasing and what is the constant

A:

Q: Find the derivative. y = In /x+7 y' = D

A:

Q: Why is the derivative of f(x) = e^2, 0? Would e to any power be 0?

A: Given f(x)=e2As the given function is in terms of x and the given function e2 is a constant

Q: Find the derivative of the function.

A: Given: y=ln(x4)(1,0)

Q: Determine the derivative of the given function: ソ=c 3 y = e x2

A:

Q: Find the derivative of the function.

A:

Q: Find the derivative of the function. 76 y = Vx - X y' = O

A: We know ddxxn = n·xn-1 xab = xab x-a = 1xa

Q: Find the derivative of the function.

A: To find derivative of the function y=e2xe2x+1. Solution: Quotient rule of differentiation states…

Q: Find the derivative of the given function. y =x² Vx-

A:

Q: Solve for the derivative of y IMPLICITLY 22 + Væ3 + 2y= y²

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: Find the second derivative of the function y = x In 2x.

A:

Q: Find the derivative of the function. f(x) = e In( Vx + 8 f'(x) =

A: Given, f(x) = ex ln(x+8) We have the formulas d(ex)/dx = ex                       ...........(1)…

Q: Find the given flx), + 2x derivative of function. %3D a+x

A:

Q: g. y = x e 2x h. y = 4sin 2x

A:

Q: Find the derivative of the function y = 0.5 In (e +1).

A: See answer below.

Q: Find the slope of the tangent line to the exponential function at the point (0, 1). y 2 1 (0, 1) -2…

A:

Q: Find the derivative of f (a) = e" (x² + 2).

A:

Q: Calculate the derivative   f(x)=e^(6x^2) / e^x+e^(2x)

A:

Q: Find the derivative of the function. h(t) = 1 2 dt

A: We have to find the derivative of the given function.

Q: Find the third derivative of the function : y = Vx

A:

Q: Find the derivative of the function. h(x) = log,(x + 9) h'(x) = %3!

A:

Q: Find the first derivative. (a) y=x* (b) y =xnx 2.

A:

Q: Find the derivative of the function. h(x) = log,(x² + x) h'(x) %3D

A: Given query is to find the derivative of the expression.

Q: If f(t) is measured in dollars per year and t is measured in years, what are the units of f(t)dt?

A: We will find out the required unit.

Q: x + y + xy = 21

A: The function is given as , x+y+xy=21 find the second derivative.

Q: I) Find the derivative of each function a)y =x' In x b)y = 4x'e c)y = eF

A:

Q: Solve for the derivative of the following Exponential Differentiation. 1. y = 92x^2 + 3x +1 2. y =…

A:

Q: Suppose that z is inversely proportional to y, and that z = 12 when y =16. Write an equation that…

A:

Q: Give the derivative formula for the function. (x)2 In x -e j'(x)

A: Consider the given function.

Q: Find the derivative of the function. y = In) x +6. (a)"* g(x) = log,(x) 9'(x) = (b) y = x5x + 2 (c)

A:

Percentage

A percentage is a number indicated as a fraction of 100. It is a dimensionless number often expressed using the symbol %.

Algebraic Expressions

In mathematics, an algebraic expression consists of constant(s), variable(s), and mathematical operators. It is made up of terms.

Numbers

Numbers are some measures used for counting. They can be compared one with another to know its position in the number line and determine which one is greater or lesser than the other.

Subtraction

Before we begin to understand the subtraction of algebraic expressions, we need to list out a few things that form the basis of algebra.

Addition

Before we begin to understand the addition of algebraic expressions, we need to list out a few things that form the basis of algebra.