Over a million students use our free study notes to help them with their homework
This comes up in C4 in A level maths and differentiating it could come up in C3. You can write a^x as exp(ln(a^x))=exp(xln(a)) then differentiating this, you get ln(a)exp(xln(a))=ln(a)a^x. By differen...
Prove by contradiction: Assume negation to be true i.e. √2 is rational Then √2 can be written in the form a/b where a and b are integers with no common factor (the fraction cannot be simplified) => a/b...
Differentiate y to get: dy/dx = 7-3x^2 , dy/dx = 0 , therefore x=(+/-)sqrt(7/3) d^2y/dx^2 = 6x , substitute x values in to y=7x-x^3 and d^2y/dx^2 to find coordinates and the type of the stationary point.<...
(x+3)(x-7)
= (xx) + (x-7) + (x3) + (3-7)
= x^2 - 7x + 3x - 21
= x^2 - 4x - 21
Key here is to ensure you multiply each term in one bracket by both in the other...
The stationary points on a curve of the form y=f(x) are where dy/dx = 0. To find dy/dx, differentiate using the product rule: dy/dx = 7e^x(d/dx(cosx)) + cosx(d/dx(7e^x)) = -sinx(7e^x) + cosx(7e^x). Now se...
←
1427
1428
1429
1430
1431
→
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
