Over a million students use our free study notes to help them with their homework
The Chain-rule is used to differentiate a function of a function. Running through an example:Let's say want to differentiate the function y = (2x+1)^3. We can substitute a variable, w, in order to differe...
Vectors can describe a line of particular length ("magnitude") and direction. The angle x between two vectors a and b can be found using the formula a.b...
Differentiate the first term 2x3 as normal by multiplying the coefficient of x by the power and subtracting the power by 1 to get 6x2 . For the next term you have to use the product rule as you...
4x/(x2-9)-2/(x+3) = 4x/((x+3)(x-3))-2/(x+3) = 4x/((x+3)(x-3))-2(x-3)/((x+3)(x-3)) = (4x-2(x-3))/((x+3)(x-3)) = (2x+6)/((x+3)(x-3) = (2(x+3))/((x+3)(x-3)) = 2/(x-3)
For x = 2, y = 16. Calculate the gradient of the curve at y = 2, dy/dx = 6x^2, dy/dx = 24. This is also the gradient of the tangent to the curve at x = 2. It is a rule that the products of the gradients o...
←
222
223
224
225
226
→
Internet Safety
Payment Security
Cyber
Essentials
Comprehensive K-12 personalized learning
Immersive learning for 25 languages
Trusted tutors for 300 subjects
35,000 worksheets, games, and lesson plans
Adaptive learning for English vocabulary
Fast and accurate language certification
Essential reference for synonyms and antonyms
Comprehensive resource for word definitions and usage
Spanish-English dictionary, translator, and learning resources
French-English dictionary, translator, and learning
Diccionario ingles-espanol, traductor y sitio de apremdizaje
Fun educational games for kids
