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Inducamides A-C, chlorinated alkaloids from an RNA polymerase mutant strain of Streptomyces sp. Conditional changes enhanced production of bioactive metabolites of marine derived fungus Eurotium rubrum. Kamauchi H, Kinoshita K, Sugita T, Koyama K. Brominated azaphilones from the sponge-associated fungus Penicillium canescens strain 4.14.6a. Also differentiation of a constant is always zero.Frank M, Hartmann R, Plenker M, Mándi A, Kurtán T, Özkaya FC, et al. We can commit a mistake in applying product rule by interchanging u and v in a hurry. Also we need to remember the differentiation of x and log x. Note: We need to understand that derivative means differentiation. Product rule: If \ then its differentiation is \. The second-order derivatives are also used to get an idea of the shape of the graph for the given function.
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The derivative is used to measure the sensitivity of one variable (dependent variable) with respect to another variable (independent variable). The derivative is primarily used when there is some varying quantity, and the rate of change is not constant. Also we will be using the product rule of differentiation.ĭerivatives are defined as the varying rate of change of a function with respect to an independent variable. Here the second derivative has been asked which means we have to differentiate two times. Hint: Derivative means to differentiate the given term.