partial, partial derivative - the derivative of a function of two or more variables with respect to a single variable while the other variables are considered to be constant 2. derivative - a compound obtained from, or regarded as derived from, another compound chemical compound, compound - (ch...
Cofunction Identities in Trigonometry (With Proof and Examples) Reciprocal Identities in Trigonometry (With Examples) Sum and Difference Formulas (With Proofs and Examples) Power-Reducing Formulas and How to Use Them (With Examples)
The function declaration ( f(x)) varies according to ( x), but the input function( (10t)(1 t^2)) only contains the variable( t). Assume ( f(t)=(10t)(1 t^2)).( f(t)=(10t)(1 t^2))Since ( 10) is constant with respect to ( t), the derivative of ( (10t)...
To differentiate the tangent function, tan(x), follow these rules. The first is to rewrite tan(x) in terms of sines and cosines. This simply means writing tan(x) as sin(x) / cos(x). Then, use the Quotient Rule, which finds the derivative of a quotient with both a differentiable nu...
Since ( 32) is constant with respect to ( x), the derivative of ( (32)/x) with respect to ( x) is ( 32d/(dx)[1/x]). ( 32d/(dx)[1/x]) Rewrite ( 1/x) as ( x^(-1)). ( 32d/(dx)[x^(-1)]) Differentiate using the Power Rule which states that ( d/(dx)[x...
derivative off(x)=2x1 Solution −2x21 Hide Steps Solution steps dxd(2x1) Take the constant out:(a⋅f)′=a⋅f′=21dxd(x1) Apply exponent rule:a1=a−1=21dxd(x−1) Apply the Power Rule:dxd(xa)=a⋅xa−1=21(−1⋅x−1...
Using the Derivatives of Natural Base e & Logarithms Calculating Derivatives of Constant Functions Create an account to start this course today Used by over 30 million students worldwide Create an account Explore our library of over 88,000 lessons Search Browse Browse by subject Plans...
Find the derivative off(x)=x2−3x+2. View Solution Find the derivative off(x)=x3+1at x = - 1 The derivative of f(x) = x log x is View Solution View Solution View Solution Doubtnut is No.1 Study App and Learning App with Instant Video Solutions for NCERT Class 6, Class 7, ...
Calculator solves the derivative of a function f(x, y(x)..) or the derivative of an implicit function, along with a display of the rules used to calculate the derivative, including constant, sum, difference, constant multiple, product, power, reciprocal, quotient, and chain rules ...
This expression contains two exponential terms and a constant term. Since both exponential terms have a constant term, {eq}i {/eq}, the chain rule will be needed to take this derivative. Recall that the chain rule is an algorithm that calculates the derivative of a compound function, such ...