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AllScienceTools
AllScienceTools
Power rule, Product rule, Quotient rule, Chain rule, and common Trig derivatives.
Mastering Derivative Rules is a key step in your Algebra journey. We built this Derivative Rules to be your personal study assistant—helping you solve problems step-by-step, verify your homework answers, and build confidence before exams.
This tool handles the computation, allowing you to focus on the underlying logic and problem-solving strategies. It is particularly useful for verifying hand-written work and exploring different problem scenarios instantly.
Instant, high-precision results
Mobile-friendly interface
Ad-free study environment
Step-by-step logical verification
Understanding Derivative Rules is fundamental. Our calculator uses standard algorithms aligned with academic curriculums to ensure the results match what you need for your classes.
Exponents, Logarithms, Factoring formulas (Diff of Cubes/Squares), and Quadratic Equation.
Sine, cosine, radians, and degrees for common angles, plus special triangles.
Deep dive into Reciprocal, Pythagorean, Double-Angle, Half-Angle, and Sum-to-Product formulas.
Common integrals, integration by parts formula, and u-substitution quick reference.
| \frac{d}{dx}[c] = 0 | Constant Rule |
| \frac{d}{dx}[x^n] = nx^{n-1} | Power Rule |
| \frac{d}{dx}[cf(x)] = c\,f'(x) | Constant Multiple |
| \frac{d}{dx}[f \pm g] = f' \pm g' | Sum / Difference Rule |
| \frac{d}{dx}[fg] = f'g + fg' | Product Rule |
| \frac{d}{dx}\!\left[\frac{f}{g}\right] = \frac{f'g - fg'}{g^2} | Quotient Rule |
| \frac{d}{dx}[f(g(x))] = f'(g(x))\cdot g'(x) | Chain Rule |
| \frac{d}{dx}[e^x] = e^x | Natural Exponential |
| \frac{d}{dx}[a^x] = a^x \ln a | General Exponential |
| \frac{d}{dx}[\ln x] = \frac{1}{x} | Natural Log |
| \frac{d}{dx}[\log_a x] = \frac{1}{x \ln a} | Log Base a |
| \frac{d}{dx}[\sin x] = \cos x | Sine Derivative |
| \frac{d}{dx}[\cos x] = -\sin x | Cosine Derivative |
| \frac{d}{dx}[\tan x] = \sec^2 x | Tangent Derivative |
| \frac{d}{dx}[\csc x] = -\csc x \cot x | Cosecant Derivative |
| \frac{d}{dx}[\sec x] = \sec x \tan x | Secant Derivative |
| \frac{d}{dx}[\cot x] = -\csc^2 x | Cotangent Derivative |
| \frac{d}{dx}[\arcsin x] = \frac{1}{\sqrt{1-x^2}} | Arcsin Derivative |
| \frac{d}{dx}[\arccos x] = \frac{-1}{\sqrt{1-x^2}} | Arccos Derivative |
| \frac{d}{dx}[\arctan x] = \frac{1}{1+x^2} | Arctan Derivative |