Long chain rule
Longest chain consisting of six carbon atoms..
Longest chain consisting of six carbon atoms..Naming the side chains (or substituent)
If there is any other substituent on the chain, the compound is named as the derivative of the corresponding alkene. The side chains (or substituents) are named as per rules for alkane..
Working Rules to find derivatives
Derivability implies continuity Derivative of a constant function is zero. ..
Derivability implies continuity Derivative of a constant function is zero. ..Food Chains
A food chain is a series of steps by which energy is obtained, used, and transformed by living things. For example; sunlight helps plants to grow, the plants are eaten by cattle, and lions eat the cattle. All living organisms of the biosphere are related to each other by a common fac..
A food chain is a series of steps by which energy is obtained, used, and transformed by living things. For example; sunlight helps plants to grow, the plants are eaten by cattle, and lions eat the cattle. All living organisms of the biosphere are related to each other by a common fac..Derivative of a Function of a Function
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But h..
Derivative of a Function of a Function - So far, we know how to differentiate functions like sin x and x 3 - 5. But how do we differentiate a function of a function? That is how can we differentiate sin (x 3 - 5)?So far, we know how to differentiate functions like sin x and x 3 - 5. But h..Working rule for Evaluating Definite Integral with Suitable Substitution
Suppose we have to evaluate the integral (1) Let t = g(x) is the suitable substitution. Differentiating, we get dt = g'(x) dx (2) Now the new variable is t. The upper limit b and the lower limit a are in terms of x. Change these limits to the new variable g(b) and g(a). (3) Write and expr..
Suppose we have to evaluate the integral (1) Let t = g(x) is the suitable substitution. Differentiating, we get dt = g'(x) dx (2) Now the new variable is t. The upper limit b and the lower limit a are in terms of x. Change these limits to the new variable g(b) and g(a). (3) Write and expr..Integration by Parts
In calculus, and more generally in mathematical analysis, integration by parts is a rule that transforms the integral of products of functions into other, possibly simpler, integrals. The rule arises from the product rule of differen..
In calculus, and more generally in mathematical analysis, integration by parts is a rule that transforms the integral of products of functions into other, possibly simpler, integrals. The rule arises from the product rule of differen..Working Rule for Finding Extremum Values Using First Derivative Test
Let f (x) be the real valued differentiable functio..
Indefinite Integrals as Antiderivative (Contd...)
Two indefinite integrals with the same derivative lead to the same family of curves and so they are equivalent. Comparison between differentiation and integration: 1. The derivative of a function, when it exists is a unique function. The ..
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