Calculus | Senioritis

John Rhodes
July 30, 2023
Calculus

How to Find the x-Intercepts of a Function | Step-by-Step Guide & Example

How do you solve for an x intercept? To solve for an x-intercept, you need to find the value of x when the graph of a function...

John Rhodes
July 30, 2023
Calculus

How to Solve for the Y-Intercept in a Linear Equation | Step-by-Step Guide with Example

How do you solve for a y intercept? To solve for the y-intercept of a linear equation, you need to find the value of y when x...

John Rhodes
July 30, 2023
Calculus

The Chain Rule | Finding the Derivative of f(g(x)) with Respect to x

If g(x)=lnx and f is a differentiable function of x, which of the following is equivalent to the derivative of f(g(x)) with respect to x ? To...

John Rhodes
July 30, 2023
Calculus

Determining Functions for Chain Rule Differentiation | Sinusoidal Composition and Polynomial

For which of the following functions is the chain rule an appropriate method to find the derivative with respect to x ?y=sin(3×2)y=extanxy=18×4−2x To determine which of the...

John Rhodes
July 30, 2023
Calculus

How to Find the Derivative Using the Chain Rule | Step-by-Step Guide for Math Students

Let f be a differentiable function. If h(x)=(1+f(3x))2, which of the following gives a correct process for finding h′(x) ? To find the derivative h′(x) of the...

John Rhodes
July 30, 2023
Calculus

Finding the Slope of a Tangent Line using Derivatives | Step-by-Step Guide with Example

What is the slope of the line tangent to the curve y3−xy2+x3=5 at the point (1,2) ? To find the slope of the line tangent to a...

John Rhodes
July 30, 2023
Calculus

How to Find the Derivative dy/dx of sin(x+y) = 3x – 2y

If sin(x+y)=3x−2y, then dydx= To find the derivative dy/dx, we need to differentiate both sides of the equation sin(x+y) = 3x – 2y with respect to x...

John Rhodes
July 30, 2023
Calculus

Finding dy/dx at the point (-2, 4) using implicit differentiation | Formula and Calculation

The point (−2,4) lies on the curve in the xy-plane given by the equation f(x)g(y)=17−x−y, where f is a differentiable function of x and g is a...